Let me clarify.
SCART on PS1/PS2/PS3 and some other systems as well, is actually RGB + a composite video line, posing as a sync. Now, what that means is, that “sync” line has all the video information on it, along with both the horizontal and vertical sync signals. A lot of monitors will not accept the sync signal with all that “garbage” on it. So, you can look at it this way. When you are using the sync stripper circuit, you not really stripping the sync off the line, what you are really doing is removing all the information that the monitor does not want, and passing a clean sync signal. SCART monitors are designed to filter out the unwanted video signal on the video line. Arcade monitors were not designed with SCART in mind, and even though the signals are similar, most will not accept it. You can try it, but if you fire it up and you just see a bunch of squiggly lines in the middle of the screen, or you hear any squealing from the monitor turn it off immediately.
You can get a SCART cable for the 360, I got mine from Australia.
When the PS2 is in RGB mode and forced into 31kHz the sync is on the green. Again, some monitors can accept this and some cannot. The same sync stripper circuit can be used(with a different resistor) to strip the horizontal and vertical sync signals off of the green line for monitors that do not accept sync on green signals.
Hopefully you will get a cab with a 31kHz or a tri-sync monitor, it really depends on how old it is. When you get it, post it up!