Yes, for sure it would make me upset if i had a girlfriend who didn't want hold my hand in public , i love holding hands and being affectionate i love romance itself , i find it very romantic and if there is elderly couples who hold hands i find very cute.
Girlfriend never grabs my hand/arm, I always have to do it and tbh it is annoying. All it tells me is either I don't care enough to think about doing it or I care about what strangers think. Both are ridiculous
Meh, sometimes my boyfriend doesn't want to hold my hand (maybe in the summer or something if it's hot and he knows someone's hands are gonna get really sweaty :P or depending on what kind of environment we're in, e. g. formal or informal) and that doesn't really bother me. Maybe a little disappointing but not a big deal. If this was a flat out refusal to ever hold my hand in public, then I'd be upset.
I'm not a fan of PDA but yeah, sometimes it's nice for him to hold my hand, put his arm around my waist or at least the occasional kiss on the cheek. Sort of showing that I'm his when we're out and about. :)