Yes, it is the case. In the real world, there are malfunctioning ALGs, permissive defaults, and connectionless protocols that are poorly tracked by these sloppy, underpowered "SPI" devices.
It's not, because in the real world NAT only affects your outbound connections. That means that turning it off only changes the behavior of outbound connections, not inbound ones.
Any inbound connection that would have worked before you turned it off will still work afterwards, and any that wouldn't have worked before will still not work afterwards.
It's not, because in the real world NAT only affects your outbound connections. That means that turning it off only changes the behavior of outbound connections, not inbound ones.
Any inbound connection that would have worked before you turned it off will still work afterwards, and any that wouldn't have worked before will still not work afterwards.