Footage from the Barclays Premier League encounter at the Britannia Stadium is set to be examined closely by the FA, with the focus on several moments where Toffees midfielder Fellaini came together with Potters skipper Ryan Shawcross in the hosts' box.
In one incident - seemingly missed by referee Mark Halsey at the time - defender Shawcross was floored by an apparent headbutt from Fellaini, who appears likely to face retrospective action from the FA.
After the game, Everton manager David Moyes condemned his player's actions and said the club would accept any punishment that came their way, while Fellaini apologised to Shawcross, his team-mates and Toffees fans.
Although he said he had "no excuses", the Belgium international did make reference in his apology to "a lot of pushing and pulling going on inside the Stoke penalty area", adding that he did not feel he was getting any protection from the officials.
Distin compared the events to a penalty Fellaini gave away in the recent 1-1 draw at Manchester City - which Everton thought had been harshly awarded - to higlight what he sees as an inconsistency relating to incidents in the area.
Reflecting on the Stoke match, Distin told evertontv: "It's wrestling, it was tough. It was difficult to run through, they just catch you all the time and grab you.
"I think the ref could have a better look at it. But that is football and it's going to happen when you come to a place like Stoke.
"There is just no consistency. That is the problem as a player.
"Sometimes you get grabbed or blocked and it is not a penalty. Then you see what happened against City when the ref gave them a penalty, and you think 'there should be a penalty every week'. There is no consistency so it's a bit frustrating when it's not going your way."