The Diamond SG9000 doesn't care at all which side it's on. It holds good SWRs and gets out good signals on 140, 440, and 460. SWR is a little high in the 151-155 range, but not so high I couldn't use it if I needed to. Not that it's likely to come up -- I've literally never keyed up on MURS in the last 15 years -- but I usually check it anyway.
A couple of other antennas have exhibited some "handedness", but not to the same extent as the SBB224. The Comet SBB7 seems to like the passenger side a little better, but it doesn't do very well on either side, probably due to the lack of an adequate ground plane. The Comet 2x4sr sucks in every band on the passenger side but only sucks in the 2 meter band on the driver side. Again, it's almost certainly a ground plane issue, because on the roof of my car, its SWRs are perfect on GMRS, MURS, 70cm, 2m, and even 1.25m. Yeah, 1.25m. Go figure. I haven't tried to use it on that band, but I probably will sometime just out of curiosity. I've tried a handful of other antennas, but the lack of ground plane made most of them non-viable on the back corner of the truck bed.