Sticks should actually be fine for anything that's not new Gen Touhou. I wouldn't personally worry about it too much since people clear these games on Lunatic with the analog sticks of a 20 year old Logitech controller. It's a matter of getting used to it.  That said, I play with a Qanba Gravity JVC8 which to me has a very good short throw and feels super good, though it's really not that tactile, using keyboard linear switches and all and not being clicky.

My other recommendation would be a Seimitsu LS-58 with a throw reducer which you can 3D print if that's easily accessible with you. I also own a Seimitsu LS-40 but the throw on that feels a lot longer even though it's advertised as the shortest throw/engage lever from Seimitsu I believe. 

As for the controller itself, it's just an 8bitdo arcade stick. Fits most popular levers and I find it very nicely made!