About the best data point I can cite is that I never saw one in a TV show.I don't think the Huxtables had a home fax machine. (Though maybe I just watched the wrong programs, and we're talking about a very long time ago so memory could fail.)
Now that you mention it, I think I only remember one from the simpsons.
But based on [1] my mom really was an outlier for getting a fax machine. Mabye we had enough contact with beurocracy to make it work it. :D Even in 1995 only 1.5 million out of 36 million (4,1%) households had one. (Although I remember it from ~2000, so too bad the data doesn't go there.)
For the US with 14 million out of 98 million households (14%) fax machines were more popular for ordinary households than in germany. (But home-use was never the issue in the fax debate anyway, just fun facts :) )