What's the point at which social interaction for a group of 2 year olds, is bad versus good? I just feel bad for him, he is a sensitive kid and I'm not sure how much of it he can take without starting to just dislike other kids.
My personal feeling is that playdates are for playing and having fun. I would absolutely not force a 2-year-old to a playdate he didn't want to go to or make him stay for longer than he liked. Honestly, I think kids are not so much into socializing until 3 or even later in most cases. So I wouldn't stress about this at all at 2.