Nope, it doesn't. The security model is based on your firewalls and routing, not on NAT. NAT just gets in the way and makes it harder to understand what's going on.

For example, on a normal home network, if you don't have a firewall on your router then your ISP can connect to anything on your network. Even when they don't control the router and even if you're NATing.

If you didn't realize this then apparently NAT didn't make it easier to reason about after all.