Notifications specifically targeted at you come down to:
- replies
- zaps
- shares
- mentions
- DM's
- requests with a yes/no answer
That's 99% of it and to handle these things I don't want to open another app (for replying, reacting, zapping, ...).
For opening newly published types of content that's high signal to you, the "open with app XXX" scenario makes way more sense.