This a deal breaker for me. I understand your intention here and from a pure alerting perspective you're correct, but I have use cases for other forms of notification.
dmattia noted the most important one. It’s a low probability situation but it does occur, and in some cases people reasonably object to installing an app because of a work requirement.
I also strongly prefer multiple notification channels making noise on my phone at night. A page usually wakes me up. A page plus a phone ringing always does, so far.
What are you supposed to do exactly when you are in a region with spotty internet and you get a page? Jump on an incident bridge, pull up the logs and dashboards, and start debugging? If are you going to somewhere with spotty internet, presumably it didn't just happen all of a sudden and you knew in advance, and thus could have swapped on-call duty with someone else who would have reliable internet?
I guess I just can't work for any company using All Quiet then, which is fair as I understand both my perspective and yours. But just adding this comment as a data point to consider, and I wish you the best.