This is a fascinating journey already.
If I look closely at the Grizzly G0602, a $2000 10x22 lathe, the tailstock is supported on a vee and an opposite bed way, although the vee is in the back and the way is in the front.
Very interestingly, the carriage sits on a separate front vee and the back bed way. So they each have the one-vee plus one flat bearing surface configuration, but flipped around. The center support on this lathe is configured like the tailstock, so you can see both versions in this photo:
I can imagine flipping them like that would somewhat decouple the carriage and tailstock (and the carriage and center support) with respect to vibration: I would expect a vibrational modality longitudinally along the (different) bed ways in each case (pivoting on the vee, sort of), and by setting them up on different sides they would swing in opposite arcs, somewhat cancelling out each other's vibration. I'm not describing that terribly well, hopefully it makes sense to people (if anyone cares about this kind of analysis). My cheaper lathe doesn't come with two vee's (nor do any of the really cheap mini-lathes that I see: sub-$1000).
All this careful consideration is making me look at lathes in an entirely different way, and I've barely turned it on yet! I'm not sure it's worth the $700 yet, but it might get there! Education is expensive!
Meanwhile, I've reached out to Vevor to explore options.
Keith