I’ve looked into this quite a bit throughout my own (ongoing) recovery.
Regrettably, I have not found a pizza manufacturer that does not use industrial oils in their products.
There are just a few links to ingredients/nutrition. Papa John’s, for instance, doesn’t even post their exact ingredients. However some lab clearly at some point analyzed a couple pizzas of theirs for nutrition (through nutritiondata.com).
It looks like their may be a couple grams per slice at Papa John’s of vege oils. So, is that enough to warrant avoidance? I think probably not, especially for those in need of calorically dense, relatively well-rounded meals. I think combining home-cooked low PUFA meals (tubers, fruit, ruminant meat, dairy, sugars, coconut) with some better-than-average fast food choices (Papa John’s, chipotle/qdoba, teriyaki, certain candy bars, whatever else) as desired by instinct and taste is probably the way to go.
So, then why even bother with pizza? How can pizza help? It has to do with it being calorically dense (many find calorie density as important if not moreso than total calories), high in many pro-metabolic nutrients (cheese, starch, salt, other ‘tastes’ to stimulate digestion and metabolism), and it being decently well-rounded in nutrients/vitamins/minerals to support the metabolic needs.
I don’t think pizza is uniquely ‘awesome’ in terms of metabolic recovery. But surely pizza, ice cream, and other calorically dense combinations make up a helpful component of a recoveree’s diet.
Those are just my thoughts.