Couldn't have said it any better
I really hate the term paleo, especially now that it is also highly associated with crossfit.
The truth is humans living in the upper and lower paleolithic era collected and consumed indigenous grains (including wheat in some areas) and beans. Additionally, early humans derived a good 30-40% of their calories from starch in the form of tubers: starchy roots.
I really prefer the term "minimally processed fresh food"...which by its nature cuts out most grains and processed tubers. Starches and carbohydrates come from fruits, vegetables, and some tubers. In that same nature, you can select your dairy. American cheese is highly processed, while cheddar is minimally. Greek yogurt > regular yogurt, etc. Same with meats, vegetables, on and on.