I've never seen them in person nor have I worn them, so my opinion probably doesn't mean much. However, since you asked - they certainly don't look like they provide much support, although all the reviews say they are super comfy. I have super comfy shoes that still kill my feet if I'm standing in them all day because they aren't supportive.
I also don't think they look very dressy and it may depend on the specific requirements of the hospital where you are (considering how many people wear Crocs in hospitals!).
$44 isn't a fortune though, especially if they turn out to be awesome shoes.
I wish I had a good solution for you - I still find my Skechers with good insoles or my Doc Marten's work best for me when I'm on my feet all day. I have short (5.5), extra wide feet - not a good combo for finding comfy shoes.