For anyone who is up for any sort of DIY project, there is no reason not to use a CRT. They are just better for SF2 and Final Fight.
I have used arcade monitors, PC monitors, LCD's and TV's. There are plenty of reasons to not use a CRT, but the biggest reason not to use one is if you don't really see the difference. The worse suggestion there is to use a TV. I'd suggest a LCD before I'd recommend a TV.
I've veered away from arcade authenticity a few times and it's not something that takes away from the experience for me. I've wired up all my coin doors, but I don't use them anymore - I use the credit button. I prefer a wico 4 way for my Nintendo games. I like my games to be in pretty cabinets with no cigarette burns, something I've rarely encountered in the wild. Every person has a different level of authenticity for them.
I think these cabinets are neat, but what I really like is all the buzz and excitement people are getting from playing the classics.
You seriously can't see a difference between the poorly scaled jagged edges on an LCD vs playing games at native res and refresh on a crt?
A CRT tv might be 2nd best to an arcade monitor but (a 15khz) crt tv is significantly better than any LCD screen when used with a crt emu / Groovymame PC. That applies to anything up to the N64 generation.
For example, here is the arcade SF2 running on a free consumer Sony Trinitron:
If it would have been a Euro version with RGB or an RGB modded American one then the image would be comparable to an arcade monitor.
This is the pecking order for monitors for old arcade games from best to worst:
1) real cga arcade monitor
2) Consumer crt tv with rgb
3) Pro crt with rgb
4) consumer crt with Component and / or SVideo
5) HD CRT TV or CRT PC monitor
6) Old (and hard to find) low res 4:3 LCD (or plasma) I.e. With a native res of 480p or lower like that 4:3 Pioneer
7) Newer HD 4:3 LCD (768p or 1024p)
A 16:9 HD flatscreen - a true abomination for vintage gaming...