I’m American, and do use jarred sauce if I have it, but more often what I have is tomato paste, a half bottle of wine hanging out in the refrigerator and some garlic or olive oil and butter. Anchovies. Usually have canned peeled tomatoes too, but those do have to cook awhile to taste good.
I guess I don’t set out to replicate jarred sauce, generally speaking, but can quickly dress pasta for supper with something good.