Look here for a general comparison of popular sticks.
With a bat top and octo gate, the LS-56 makes a pretty decent Japanese substitute for an American-style stick, if you’re after something like that.
The LS-56 is very tight with a stiff spring. It actuates very quickly when you move the stick. It is noticeably tighter and stiffer than an LS-32. Whether or not this is a good thing depends completely upon your preference. I personally think it is too stiff with the standard balltop, but feels pretty good with a bat top as you get a little extra leverage.
The LS-32 actuates quicker when moving the stick than the JLF, and is a little stiffer. I would say the feel is definitely closer to the JLF than to the LS-56.
None of these attributes are positive or negative attributes… they’re all good sticks; it depends on what works for you. Me, I am always fucking around with hardware just for fun. You can probably play well with a setup based around any of these 3 sticks once you’re accustomed to them.