Just the popups is all I would want to skip, personally.
It's not tutorials themselves I'd be bothered about, assuming on subsequent playthroughs they are fast to skip through when they're no longer needed, just that popups themselves can feel very jarring and pull me out of the experience.
With the way it sounds like things are set up, people skipping the popups should still have something to go off of anyway, even if it's not super specific, so that probably helps a lot.
The kinds of people who skip tutorial popups are probably used to having to figure things out anyway.
It's not tutorials themselves I'd be bothered about, assuming on subsequent playthroughs they are fast to skip through when they're no longer needed, just that popups themselves can feel very jarring and pull me out of the experience.
With the way it sounds like things are set up, people skipping the popups should still have something to go off of anyway, even if it's not super specific, so that probably helps a lot.
The kinds of people who skip tutorial popups are probably used to having to figure things out anyway.