I used to think so myself, but experience seems to indicate otherwise. When you go from one ball to the next in an arsenal, you want/need some overlap, but not a lot. Just polishing usually does not do what is needed, unless you went to extremes on both, say 600 grit dull, then 3000 grit high gloss polish. But if you do that you may miss some valuable middle ground.
Leaving the V2 solid/sanded at its box 1000 grit is a good, safe idea, with say a 4" pin, somewhere under the bridge level. The second might be 1500 - 2000 grit polished with the pin over the ring finger or over the center of the bridge. CG posiiton can be your preferred posiiton for each or slightly different.