Ask a dairy farmer. Inflammation-mediated carcinogenesis is certainly a thing for some specific types. How much it's true across the board is speculative, but a lot of inflammation-related conditions also have association with higher cancer risk for the given body part.

I’d rather ask the cancer research scientists.

I predict that they would say:

"There is no way dairy products can contribute to inflammation, cancer or anything bad for a person. Just ask the Milk Board!"

On the other hand:

https://www.youtube.com/watch?v=aIPksx7XLzk (it's a bit old though)

https://www.youtube.com/watch?v=_CRrI5U9HXU