The RSS protocol was specifically designed to allow this type of subscription and it works great. I've got many blogs I've been following this way for 15+ years (Dave Winer, who occasionally posts to HN has one of the oldest). It's even more disturbing when RSS feeds disappear and I end up with 404 errors in my reader. This has also happened for a couple of RSS feeds that serve podcasts (Spotify and Pandora aren't helping this trend).
I have a couple ideas that I've started working on to counteract this trend but before spending too much time on them, I wanted to see whether anyone else was feeling this pain. Depending on the response, perhaps I'll share these ideas at some point in the discussion.