While it is true that most NAT arrangements are provided by firewalls, it is quite possible for a device to provide NAT with no other firewalling features at all, so not be considered a firewall. In this case the device would just be a router that provides NAT.
Some confuse NAT and firewalling because NAT effectively implements a default-deny-all-not-initiated-here rule in one direction which is what most home users want in a firewall.
"Some confuse NAT and firewalling because NAT effectively implements a default-deny-all-not-initiated-here rule in one direction which is what most home users want in a firewall."
To make it even more confusing what most people are confusing with firewalling is actually NAPT which is the specific type of NAT described in this thread. There are other types of NAT which don't require keeping track of state and which don't provide the default-deny-all-not-initiated-here rule side benefit.
> what most people are confusing with firewalling is actually NAPT
Yes. I should be clearer myself as just referring to NAT this way could serve to increase the confusion.
What most people just call NAT, what is offered by simple home/office routers (or APs when not in bridge mode or similar) and phones in tethered wireless mode, is actually NAPT (Network Address Port Translation), which is a subset of SNAT (Source Network Address Translation), which is in turn a subset of NAT.
Indeed. A misconfigured NAT setup can also result in some traffic being NAT'd correctly and other traffic not being NAT'd, but ultimately still leaking out onto the wire (in either direction)
Beware when you're doing pure NAT, it doesn't always do what you think!
While it is true that most NAT arrangements are provided by firewalls, it is quite possible for a device to provide NAT with no other firewalling features at all, so not be considered a firewall. In this case the device would just be a router that provides NAT.
Some confuse NAT and firewalling because NAT effectively implements a default-deny-all-not-initiated-here rule in one direction which is what most home users want in a firewall.