You can send faxes to someone without the telco running a local webserver on your fax machine, and you don't run thousands of other applications on your fax machine, and your fax machine doesn't usually come with a nifty record feature, nor a camera and a microphone.
I hesitate to point this out, but quite a lot of fax machines come with a microphone.
(And, noting the prevalence of articles from a few years ago talking about "update your fax machine firmware", I suspect you could fuzz their telco line-parser for very interesting results!)
Good point--you're talking about the embedded handset or something else? That said, as you hint at: not quite the same thing from a threat model perspective :)