Not just the edge router. Every router between the ISP edge and the destination edge.

And since the goal is “backwards-compatability”, you’d always need to poll, because a “legacy” IPv4 client would also be unable to send packets to the IPv4+ destination. Or receive packets with an IPv4+ source address.

And it would be an absolute nightmare to maintain. CGNAT + a quasi backwards-compatible protocol where the backwards-compatability wouldn’t work in practice.

So you would have exactly the same problem as IPv6. I can say the same about v4 and v6 today. You could just turn off IPv4 on the internet, and we’d only need to do translation on the edge for the legacy clients that would still use IPv4. You can even put IPv4 addresses in IPv6 packets!