I am dubious about "red meat" being called pro-inflammatory.

Are there any studies showing that real red meat - say venison or grass fed beef or acorn-fed pork is inflammatory or harmful?

I'd not be surprised if a comparative study of diets could show that higher amounts of red meat in the diet correlated with bad health, but I have never seen anything suggesting the red meat itself is a problem other than perhaps processed meat like hot dogs.

Processed food - for sure, there are many aspects of most processed food that I think are harmful. Inflammatory I think generally means it's damaging the body in some way which causes inflammation.