Which wrestlers stayed in character on entering and leaving the halls?

Kendo Nagasaki obviously stayed in character.

Another masked man ,The Ghoul, stayed in character.

A lot of wrestlers stayed in character because their character in ring was the same out of the ring

Doctor Death stayed in character Johnny Czeslaw sometimes the hero sometimes the heel.

Can't say I saw many entering or leaving the halls. Al Marquette said the original Undertaker drove to the venue in his hearse, but I don't know if that's true. The Borstal Boys would publicly enter the hall before the start of the show handcuffed to their minder. I saw Pallo and JJ leaving the Tower having a barney about something that had happened in the dressing room - no idea if it was put up or genuine.

Around 1977, a school pal of mine was waiting for Wrestlers autographs, after the show had finished. Giant Haystacks came walking out, and so my pal stood in front of him, holding out his autograph book and pen, Haystacks grabbed him under the arm pits, lifted him up and plonked him down to one side, and carried on walking out of the venue!

So he was definitely in character as he left the building that night.