my last few jobs haven't cared, so long as nobody else had to pick up my slack.
and we can use sick time for healthcare appointments. i generally end up with way more than i use (theres a formula for how much paid sick time we accrue per hour worked), but i guess my thinking is that if im ever up shits creek and need to start leaning on it, it'll be in the bank.
anyways, you might consider looking up how many sick days state employees accrue where you live per hour worked to get a general vibe of what's an expected sick time limit among number crunchers.