As I keep trying to explain each time this comes up: no, it doesn't and it won't.
When your router receives incoming traffic that isn't matched by a NAT state table entry or static port forward, it doesn't drop it. Instead, it processes that traffic in _exactly_ the same way it would have done if there was no NAT going on: it reads the dst IP header and (in the absence of a firewall) routes the packet to whatever IP is written there. Routers don't drop packets by default, so neither will routers that also do NAT.
Of course, this just strengthens your point that NAT isn't security.
ggm•1h ago
NAT doesn't exist to be secure. If it is, (and that is debatable because NAT busting is a thing) then, it's a side-effect.
NAT for v6 is not common. If you use ULA, you'd possibly use NAT for v6 in some circumstances.
https://datatracker.ietf.org/doc/html/rfc6296