It's an eternal debate that'll go on as long as CRT's are still available, and most likely will continue long after CRT's are not available.
In a nut shell, it all boils down to what your preference is. If you feel that you can gain enough of an arcade experience by using an LCD, then by all means, use one.
If you asked for my personal preference (Note that I'm avoiding the use of the word, "opinion," here), I would go with CRT whenever feasible. The reasoning behind it is some of the developers specifically created visuals for a very specific type of monitor. Some games were designed around, or leveraged, some of the inherent deficiencies of CRTs. Things like bleed, flicker or glow, to name a few, were sometimes designed into the very game itself. (In an even narrower example, some games can only be fully experienced on Vector monitors. The game can be played in some form on standard CRTs or LCDs, but you miss out on a quite a bit.)
Some people argue that the game developers simply "threw" the game image into specific addresses without regard to the monitor being used. That sort of comment is such a broad blanket statement that I have to wonder if that person ever developed any sort of game under the tight hardware requirements and limitations of the time.
Edit: Fixed some annoying misspellings.