Have you ever made Pizza with flour that is ground specifically for pizza?
If you cant get Caputo or Anna 00 flour near you try a high quality bread flour..Something like Bobs Red Mill, or King Arthur.. There is an Italaian market in the Bronx near one of my jobs that has 4 or 5 types of 00 flour..
It does make a difference, not so much in taste, but in texture, mouthfeel, chew...
This from when hoarding started to be a thing... was in the supermarket and they had some "expensive" flour left on the shelf...Note: its really not that much more costly
Oh, and BTW i don't hoard.. Ive used most of that flour since it was bought...