The Bluebirds' drinking culture was notorious in those days, it is why many believe the players and the fans have never enjoyed a closer bond.
But Griffith wasn't too big of a drinker back then and in fact took a different stance when it came to the heavy midweek sessions.
COHEN GRIFFITHS:
"I wasn't really one of the Beverley crew, which I'm sure you've heard about," he says of the infamous Wednesday drinking club the Bluebirds players were part of, named after the pub on Cathedral Road.
"I'm not a big drinker. I would go out after the games on a Saturday, not on a Wednesday night.
"I always felt you were giving the fans ammunition, 'Oh, no wonder he was rubbish, he was out drinking on Wednesday.'"
There is no doubting, however, the fans' close bond with the players was a huge factor in that 1992/93 season and Griffith agrees.
The former winger's overriding memory of that campaign is, of course, the scenes of carnage and euphoria after the Bluebirds' final home game of the season, a win over Shrewsbury Town which sealed promotion.
"It was really hard to get off the pitch," he recalls. "I had a really big cut on my head, because they had a big centre half who had elbowed me.
"When the whistle blew all the fans ran on and they were all smashing me on the head!
"They were asking me for my shirt, so I would give it to them, which didn't go down well with Harry Parsons, our kit man.
"You are literally getting stripped and then somebody took my boots and ran off with them!"
He managed to wrestle his boots back with the help of another supporter, because, of course, the job wasn't done, there was the final game of the season, away at Scunthorpe, still left to play. The game in which City could crown themselves Division Three champions.
"Driving up there, the roads were packed with Cardiff City fans in fancy dress," he remembers fondly.
City clinched the title that day, with Bluebirds supporters flooding three sides of the ground, but Griffith managed to make his way into the changing rooms unscathed that time.
That season ranks among the highest points of the former midfielder's career, however there was one aspect he certainly didn't enjoy; the South Wales Echo player ratings.
"I used to get five all the time," he laughs. "I used to say, 'Well hang on, how am I getting five every week?'
"Six is OK, but five is not OK. The lads used to ask me what I'd done to the reporter to deserve a five!"
Steve Jenkins and Cohen Griffith doing battle in 1995
But he speaks in jest, of course, because the effusiveness with which he talks about that time is evidence of his love for those brilliant days in blue.
It is why it stings when he talks about his exit in 1995. Eddie May wanted him to sign another contract, but Griffith says then chairman Rick Wright thought differently.
May left and, consequently, so did Griffith, and that's when he moved to Barry Town.
"I thought I was worth another contract," he says. "I was still contributing and could have carried on contributing.
"I hung on, they didn't appoint the next manager (Kenny Hibbitt) in time and, because I always played well against his sides, he was surprised that I'd gone.
"But I had already signed for Barry then, so that was a done deal.
"I was disappointed, even a few fans would probably say it was a little bit too early for me to go, I was only 32.
"I was a little bit gutted to have gone that quickly."
After a couple of successful seasons at Barry Town, alongside his former Bluebird team-mate Chris Pike, Griffith signed for Merthyr in 1998.
But it was there he suffered a horrendous injury when his studs got caught in the ground and the effects of the incident were lasting.
"I'm still not really right now," he says of the knee injury, which preceded his swansong season at Rhayader in 2001/02.
He went into coaching once he hung his boots up. He admits he never really put much thought into what he wanted to do once the screaming stopped, but undertook his badges because he enjoyed working with youngsters.
It's how he wound up in his current role as a lecturer at Coleg y Cymoedd in Ystrad Mynach, working in the sports department.
He runs the football team there, too, passing on those little nuggets of information and experience to the next crop of talented youngsters bursting through the ranks.
Griffith, now 57, has an infectious laugh and a seemingly happy-go-lucky character when he speaks. It is easy to see why, even though he was not part of the infamous 'Beverley crew', former team-mates have nothing but kind words to say about him.
In search of Cardiff City's most loved team: The class of 1992/93
They were the Cardiff City team that defined a generation. A group of players who sparked something within the Bluebirds fanbase few others have been able to replicate since.
In 1993, Eddie May's side delivered promotion for his barmy army at the end of a season those who were there will never forget.
This was the team of Dale, Stant, Blake, Searle, Pike and the rest. It was the year of that glorious, iconic kit.
Over the coming weeks, WalesOnline will be tracking down the men who became heroes 27 years ago to hear their stories of yesteryear and discover what became of them.
You can read about Carl Dale, the cult striker who became an electrician here.
Here, we tracked down Derek Brazil, the Man United kid who became a Bluebirds hero.
Chris Pike spoke about his days as a Bluebirds goalscoring machine and the moment he knew his 11-year-old nephew, Gareth Bale, was going to be special.
He worked tirelessly for Cardiff City during his stint at the club, leaving everything out on the pitch and undertaking a number of roles to suit each manager's system, moving from the wing into central midfield later on in his career. The ultimate team player.
You can imagine, then, that he would have slotted in seamlessly with the staff at Coleg y Cymoedd in his new career as a lecturer, but he has not escaped the ribbing which would have been commonplace in those Bluebirds dressing rooms of yesteryear.
Because when Griffith was initially contacted about this interview, he replied to say he was happy to do it, but that he had received some flak from colleagues about the articles which had preceded it.
"There are a few Cardiff fans in there, one of them is the biggest Phil Stant fan ever," he laughs. "He would have Phil Stant down in his World XI.
"But they were all saying, 'Ah they are starting the series with all the good players'."
Not at all, Cohen, that we can assure you and your colleagues.
For the winger's six years of service to Cardiff City Football Club is regarded as a bona fide success, as thousands of Bluebirds fans of a certain vintage will agree.
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