Mr Kohu met bar manager Alan Forsdick after growing social media trumpeted allegations of discrimination, but said he thought the apology offered was all for show.
"The only way out of that one was for him to apologise....There was no meaning in it. It was something that he had to say I believe, it was something he needed to say. The cameras were there. If it was just myself, I think it would be different again.''
Mr Kohu said he wouldn't go back to the bar and would tell others to not go anywhere near the place.
The Turf owner Louis Vieceli said the tattoo policy was about improving standards, and was still in place at the moment.
"We're most likely going to rethink, I think we'll probably just see what happens in the next 24 hours.''
Mr Vieceli also issued a statement apologising for any embarrassment caused by the incident, and admitted aspects of the signage were badly worded.
He said the bar signage has been altered to say the bar reserves the right of admission.
The premises will ensure that its staff are properly trained and hoped not to have a repeat of the matter.
"Whilst the tavern does have standards, these are not intended to be discriminatory in any way,'' he said.