The aqueous based paint formulations currently in use were originally implemented a few decades ago when the feds mandated low VOC (volatile organic compounds) paints. You may have seen some early '80s vehicles with paint poeling in sheets? That was the industry trying to adapt.
Yes, new finishes need waxing just as did old finishes, but only if you want to keep them looking good. In hot climates it’s especially crutial, as the sun will bake the paints.
But if the car is your dad’s and he says you don’t need to wax it, than it’s really up to you. I can only say that I’m impressed with your integrity in wanting to maintain the vehicles properly as per the charge you’ve been given. Most young folks would simply say “cool, that’ll save me an hour’s hard work”.
Sincere best.