Fax is obsolete technology, but you know that.  And how is it more secure than the Internet?  If you think your phone line can't be hacked, just ask the FBI and CIA.

My fax number is through eFax.  Faxes come by email attachment, so I can preview and print only the pages I need.  I use it so rarely that I decided to cancel it a couple months ago, to save something like $15 a month.  But they talked me into a "limited" service that is more than sufficient for what I receive, and after reading your story I'm glad I stayed with it for $5 a month. 

I occasionally send a fax with an old 4-in-1 machine in the closet, where the phone line comes in and I have to disconnect one cord and connect another.  The hard part is remembering to plug the phone cord back in.  

Many of my clients are better at scanning documents and emailing them to me, than I am at scanning and emailing to them.  I have to stop and relearn how to combine ten pages into a single pdf, rather than sending ten separate documents.