So let's say that a particular OW training class has quality, breadth, rigor, and a basic book/specialized calculator/blue vinyl bag, the use of all required equipment through the class, a checklist of skills that must be taught and standards for teaching them, lunch on the OW cert dive days, and if you meet all requirements a PADI C-Card.
Which parts came from PADI?
Where did the other parts come from?
My observation is that PADI doesn't push themselves as the lunch-providing agency. That doesn't mean the course isn't "pure PADI" because the shop serves lunch.
Likewise, my observation is that PADI doesn't say anything about shops letting you use equipment, but the PADI shop I went to did. That doesn't mean the course wasn't "pure PADI" either.
No experience like dive training ever comes from a single source. It isn't all PADI, or all the shop, or all the instructor; different parties provide different ingredients.
More to my original point, different parties provide VALUE with different ingredients. They sell (market) different ingredients. The shop might sell the fact that they provide equipment use and lunch. The instructor might sell the quality of her training. PADI sells that their C-Card is accepted everywhere. That's the value they have positioned themselves to provide.
I don't see how you could look at their marketing/self promotion and disagree, and I certainly don't see how you could take offense at that being pointed out, but if you do that's OK. It isn't the best argument fodder but what the hell, we can make it work.