I think it does, because of a few factors:
- Meat has to be chewed to be consumed.
What you are really trying to get at in terms of periodontal development is masticatory force and chewing.
not getting enough meats in their diet, which prevent them from developing a more defined jaw, compacting their wisdom teeth..
It's not the lack of meats per se but more so the lack of chewing hard foods/items for extended periods of time.
Yes meats do require quite a bit of masticatory force (70-150N) but so do foods like raw carrots, whole broccoli, rye bread, falim & mastic gum, etc etc.
By saying "not getting enough meats in their diet, which prevent them from developing a more defined jaw, compacting their wisdom teeth" makes it seem like the lack of meat is the sole reason for periodontal issues which is not completely true. That's why I responded to your comment in the first place.
BTW eating high sugar foods, drikning coffee, soda, and alcohol can also lead to periodontal diseases. Thumbsucking, mouthbreathing, prenatal hormones, and genetics also have an effect on the teeth and mandible not just a lack of hard foods and chewing.
You are probably asking how that specifically has to do with the jaw line and wisdom teeth, but I would put forward the theory that a recessed jaw and crowded tooth pallete is more of a deformity than it is a genetic trait, and that with regular chewing of food that is good for the teeth and of course your masculinity writ large, that this would cause one's pallete to expand properly without any tooth crowding whatsoever.
Regular chewing of hard foods is needed however this is not the only factor in how your mandible is shaped and grown. Also the "jawline" or outward appearance of the mandible and teeth crowding/spacing is more a case of correlation not causation.
I have always been complimented by the dentists on how my teeth are in great condition and how I don't require any wisdom tooth removal but if you look at my jaw from the outside it looks average at best. My midmandible is quite narrow, my chin needs more projection, and my ramus is short.
On the other hand someone like Tom Holland despite having a much better looking "jawline" and lower third compared to both me and the average male needed wisdom teeth removal.