Admittedly, there are some simple use cases where HTTP auth is all you need, but it's just way too inflexible, unless you turn it into some mammoth spec that is never going to be as flexible and tempting as managing user identity yourself.
Especially since HTTP auth doesn't actually mean you can stop doing that anyway. You're still handling account creation, password checking, all the abuse / bot detection bits... all you're getting rid of is the sign-on and logout functionality, which is really not that complicated to begin with.