The scan range of the Betson said, it should be able to not only handle the native resolution of shooters, but probably double the resolution on most of them.
That said, I gave it a shot and noticed the top and bottom cut off of the vertical shooters (320x240 res rotated, think native was 432x320 according to AdvanceMAME) with the Betson sitting horizontally - didn't matter if I was native or 2x the resolution. This was with an NVidia card instead of an AVGA. This doesn't happen on a different monitor I use with MAME, so the Betson may be suspect though you'll want to test different refresh rates, resolutions, and other such to be thorough.