as a skrull. it's a big part of Avengers the Initiative. Bendis devoted a couple issues of his Avengers run to skrull pym (who wasn't a member of the avengers).
not from my perspective. she mentioned her dad whenever she appeared. people wouldn't know who she was if they weren't familiar with Scott. she turned up and said 'my dad the avenger died. i'm going to be the new Ant-Girl.' Tony Stark took her aside to explain that he failed to protect Scott. her costume is an homage to Scott's; not Hank's. she became part of the AVengers Initiative book. the first thing she did was ask skrull pym if her dad might have survived by entering the microverse. the next thing she did was get into an issue-dominating fight with Eric O'Grady to defend her father's honor.
that's not true. i have every issue of the run. Cassie didn't show up until he was almost out the door. and she showed up to give Kristoff someone to talk to. Scott's role in the book was as an outsider/a witness to the gradual decay of the Fantastic Three. he was also there to fix Reed's timesled. and to, at least once, go out on a date with Sue.
if you say so. i think the most current crop of posters would know him as the guy who dated Jessica Jones before she married Cage. but i don't see anything that you mentioned as being a handicap. it could be much worse. Scott could be known for beating up a woman or creating a mass murderous A.I.