It already exist in the game, and CCP devs used to know how to do it. They got lazy, In the previous tutorial, the rookie received turrets with ammo based on their race. So they (should) know how to give modules based on race.
If they absolutely want to give a modules that requires a skill book, then Amarr and Gallente can keep the armor rep with the Repair Systems skill book as it is currently, and give the Caldari and Minmatar a shield booster and the Shield Operation skill book. “Simple”
If anything, they contracted the tutorial to an external dev company who doesn’t know the game, and this is why you have a tutorial that doesn’t look and feel like the game, and clueless about the lore and the bonuses specific to each races’ ships.