Does War of the Chosen add anything to the tutorial?

Solution 1:

It's pretty much the same tutorial, most of the content happens after that.

Source: I've played a lot of it. :)

Solution 2:

War of the Chosen adds a tutorial for the new features- The Lost and the Chosen. It adds introductory missions for the new soldier types, the chosen, and the lost.

This option can be enabled or disabled separately from the main tutorial when starting a new game.