In my opinion, the Mitchell & Ness snapbacks are cut close to the "old-school" retro styling... higher crown, square visor and a bit shallow towards the back. They also do their regular fitted shape with a snap, like the Raiders cap shown by ELKO. The New Era joints seem to be 5950's but with a back snap.
Most "real" deadstock caps are shallow. Don't believe the hype, some of that "deadstock" shit you are seeing at spots for $50-$100 is not always true deadstock! Unless, these joints were preserved in a fkn ice chamber, the hangtags that usually come with the caps would show some wear and discoloration. The crown shapes would also show some crushing. Heads are getting over...HARD! Don't give me this shit that you have a connect in fkn Europe somewhere who just happens to be sitting on crates of Bulls, Raiders, etc caps for the past 20 yrs. And that Starter stuff you are seeing out there in collaborations is just the right to the name Starter. Again, there is some "true" deadstock out there but there is also new caps being passed off as "deadstock".
Don't forget the other brands putting out good snapback product, such as ONLY NY, ELM, Quintin, WIP Caps, Ampal Creative to name a few.
As far as team licensed stuff goes, Mitchell & Ness is doing it the best... my opinion. The material is tight, embroidery is tight, fit is legit, and their price won't break your bank.