If you are happy with SMS and twilio, then use it. Having many options is generally always awesome.
The main reason I made ntfy was because I mumbo jumbo (that's a technically term) on all sorts of servers for work and for fun, and I often do things in a tmux or screen that take forever, like rsync something (ha!) or reseed a MySQL replica. On many of those servers, I cannot or should not install anything, and I certainly don't want to leave an auth token in the bash history.
For those use cases, having a short command to ping me when something is done is FREAKING AWESOME. This has become muscle memory to me by now:
rsync -av bla root@myserver:/bla; curl -d "rsync done" ntfy.sh/philalerts
No auth token. No looong string of things. Just a simple curl.But again. If you're happy with SMS+twilio, then there's no reason to switch. Though I would love it if you could give it a shot.