You could do that, I guess. But I don't know that I find it necessary. If John wants to sit at the table with his 5e PHB, and Sally with her One PHB, I don't know that I have an issue with that, especially because, to be honest, I expect that to be a rare occurrence. It would be a little worse if the player needed both PHB's to play.
I'm not big on depending on errata to create compatibility. If John hasn't made errata corrections in his PHB, I really want his character to mostly just work anyway. If he's at slightly lower or higher power, maybe errata fixes it, but I can also use encounter design and such to manage the disparity.
Most of the issue of compatibility I would expect to see is more among the adventures and supplements. Say my group moves to OneD&D - can I still use the Spelljammer set I bought but haven't run yet, without all that much more work than I'd need to do anyway?