Do you love them?
Absolutely. Been a fan since SF2's release, and I've played a large enough variety to know that the common myth that the genre was dead before SF4's release is just that, a (probably unintentional) lie from certain casual Capcom fans.
Do you have fond memories of the genre?
I don't even know where I'd start. I guess the beginning? I remember the first time I saw SF2 in passing, I remember the first time I played it, I remember hours spent practicing and learning it, I remember HD Remix's release reinvigorating my love for that specific fighter. I remember playing Soulcalibur with my girlfriend (she found Xianghua adorable), going to DOA3 and 4 tournaments, importing VOOT for Dreamcast. I remember my struggles to finally get good with an arcade stick. I can remember tons of more niche favorites like Metal Combat or, errr, Metal Warriors. I'm sure I've spent literal days playing against friends online. Lots and lots of happy memories.
Do you think they'll survive?
Yes, if nothing else because they don't need to be that expensive to make. There's also a large enough audience to justify at least smaller productions. Worst comes to worst, I'm sure fans would put together their own games.
Do you still play?
Basically every week, yeah. Current favorites are Killer Instinct, Skullgirls, and BlazBlue Chronophantasma.
How would you improve them?
Honestly the genre feels like it's in a pretty healthy place, but innovation is an area I think lately it has fallen short. In particular there's been a move in the rest of multiplayer gaming towards two things, free to play and team experiences, and I don't feel fighting games have done a good job at either yet.
Team fighting games especially would dramatically change the genre, I get that (I own Virtual-On Force on 360), but I still think both things need to be attempted by more developers. Team games help introduce newbies/casuals to a game, and that's definitely something fighting games need more of. This doesn't even necessarily have to be a simultaneous competitive thing either, we could look at traditional team battles, tag matches (Dead or Alive was really innovative in this regard), even dedicated modes to fight against AI boss opponents.
Free to play seems like an obvious way to get past things like SF5's bombing in sales and player numbers, and clearly F2P can be profitable when done well.
Put in simple terms, I feel to some extent MOBAs have replaced fighting games, and I don't see why they can't shift a little closer to that model to reinvigorate the genre while not losing what makes them great in the first place. Look at a game like Awesomenauts (which seems at least partially modeled after Smash Bros.), it's not hard to imagine tweaking that a bit to create something a little closer to a traditional fighting game.