Very interesting. I've never considered it an actor's duty to sign autographs or be friendly with fans at stage doors, but it's very nice when they do.
That said-- Harvey Fierstein was very nice at an early preview of Hairspray when I asked him to sign several playbills of shows he'd been in and copies of plays he'd written. There was a huge crowd at the stage door, and when he saw the amount of things I'd brought and the amount of people also waiting for him, he asked me to pick two things for him to sign. I did so (I now have an autographed copy of
Torch Song Trilogy!), and he was very gracious about it all. Considering the massive crowd screaming for his attention, I'm amazed he was able to keep his cool.
I'd only gotten Nathan Lane's signature by having programmes sent to his dressing room (even went I sent numerous items, they were all returned to me signed), but had never been able to tell him in person how much I appreciated his work. After
The Frogs, I waited at the stage door, where there was not as insane a crowd as there had been at
The Producers. He emerged, signed my programme, and was very gracious and polite.
I'm sorry other people have had bad experiences with these (and other) celebrities, but everyone is entitled to an off day. It's hard to make a fair assessment of a person from only one meeting in a rather extreme situation.
"I hate musicals... People don't sing in real life."
"Well, maybe they should."
--Kiss of the Spider Woman (cut line)