I, like Randy have cooked my sauces for years, until recently when i started just mixing it right in the bowl then onto the pizza.
there is some marinate time involved to let the sauce blend. i usually give it at least 30 minutes to an hour in the fridge prior to bake time. Or I make it just as I turn on the oven to preheat the stone. Usually about one hour or more.
I have found that the taste without cooking is very good, just as the cooked version is. But like many things it is apples and oranges and cannot be compared to as which is better in my opinion. We all like to have a fast food burger or sandwich now and then, and some are truly delicious (but bad for the body) but a fast food burger is in no way comparable to a homemade grilled burger. they both are great but much too different to say they are in the same group.
So, if you see my point you must decide for yourself which is your favorite. Or more over, it sounds like it will be whatever your wife thinks is best.
Try it without cooking on your next pizza and you will see.
Some will argue that it cooks on the pizza anyway so why do it on the stovetop prior.
Another addition to the sauce (that I no longer go without) is grated Romano cheese, about 2 tbls in one 28 oz. sauce just prior to going on the pizza.