Sadly, the GF's QS used to be 24-hour. Not post-shutdown, though.
I really wish it'd be open like that again. Such a nice getaway if you were at VGF or GF and couldn't sleep in the wee small hours.
Maybe we can hope as Disney recovers from CM losses due to the pandemic? I sure do.
ETA: Interesting. I hadn't checked hours for Gasparilla's for some time. It's open till midnight.
However, you probably can't get in the GF gate since not staying there. The GF is somewhat vigilant about admitting only those with room or dining reservations. Wanting QS won't admit you, unfortunately.
Too bad. Even cold case items there are tasty.