Wolves definitely would help with the population but them being one of the causes for Deer overpopulation is a myth. Wolves do not drastically reduce numbers of deer but they do create a "culture of fear" that causes them to not just brazenly walk around in human developments.

The fact is deer just do particularly well in our suburban and rural environments and are in no fear of extinction due to hunting. Your wiki link is relevant to nothing considering those were mostly endangered species from the first half of the last century or earlier.

It does sound like you agree that rules should be in place for hunting deer but in no way are humans putting them in danger of extinction. I don't really give a shit about hunting btw but I'm sure it has gotten many deer out of the environment that would otherwise be inside the grill of someone's car right now.