Great stuff Joe C. That is interesting about the tomato puree. I've seen a few different versions of their sauce which always seem to include tomato paste, puree, water, etc. I know that the Ceccoli's were, shall we say "thrifty" and so saved on many of their supplies whenever they could. I have a recipe provide by an employee but the hydration appears wrong. It's only 50% hydration and that dough would be far too dry & crumbly at that low a hydration. It appears to be on target with the other ingredients though.
I'm not surprised that they would use Genoa products since that company is the leading supplier in the area. I'm a little thrown off by the tomato puree though; my recollection of VP sauce is that it is actually a bit chunky and even has pieces of tomato in it. Puree would be just completely saucy, right? As you suggest, they likely use some sort of combination. In addition to the Genoa puree can in the photo, notice the can of water to the right of the large stainless steel bowl. I'd guess that she periodically replenishes the bowl with measures of puree, water and maybe crushed tomatoes(?).
For us, it's all academic at this point. You've cracked the code for the perfect home-made version, no doubt.
Meanwhile, a couple of other things of note in the picture: The boy with the black cap standing at the wooden table. In front of him is a stainless steel cutting template into which they place the pizza pies for perfect sized cuts every time. I'll bet that's a custom-made item. The other thing, in front of Mr. Ceccoli, note the cooling rack. For my home version, I've found that cooling on a rack for a couple of minutes before cutting is key to maintaining the crispiness of the bottom crust. Before using a rack, I noticed that placing an oven-hot pie immediately on a flat surface seemed to result in steam taking away from the crispiness. Recall that, occasionally you would get a less crispy tray from VP. That might have been attributed to their busiest hours when pies weren't allowed to cool sufficiently before moving over to the cutting table.