The difference isn’t enough for you to shell out big money. You can play any kind of fighting game on any kind of stick, provided the button layout is correct. I have a regular MAS stick and a Street Fighter Anniversary Edition stick I modded with Happ parts (don’t use the MAS anymore, the SFAE stick is much nicer), and I play Tekken 5, Third Strike, and Super Turbo without any problems.
Something that isn’t so hard to do is buy a cheap stick and mod it with better parts. That’s what I did with the SFAE stick, and I love how it turned out. If you can find one of those on ebay or what have you, that would be great because there’s a great guide for doing that in the hardware forum. Speaking of which, that’s really where you should be asking these questions. People there know all about everything having to do with this, from buying a preexisting stick to modding to building your own. Check it out.