My Dad died and I had to leave before a game to get home , and the steward made a point of telling me no readmission before grudgingly opening the gate
I find the ''no re-admission'' policy quite archaic.
They had it at Millwall initially but relaxed it because people were smoking dope in the toilets during half time and it absolutely stank and with kids going into the toilets it really wasn't appropriate. I have no issue with anyone who wants to indulge in class AB or C drugs - That's their perogative but not around kids.
Millwall addressed this by creating a smoking area which is stewarded for people to go out and smoke and then come back in. I think there are a few other clubs who have done the same.