I was thinking about the thread today while doing another playthrough, and I'm now convinced additional tutorial isn't required.
Shoving? You look at the UI, and you have a shove option. As soon as you see that, you look for precariously placed enemies.
Additionally, the crypt is as far as I'm concerned a secondary tutorial to the nautiloid. Lots of opportunities to try things out, learn from mistakes, etc.
I totally get OP's point, but I think there's so much initial stuff that more formal tutorial would be off-putting for a lot of people.