As I said - on mainland. That study was done on a peninsula community surrounded by water, except on the north side, which was mostly a nature preserve where a 6 foot high fence on that side prevented new deer from entering.
So yes "kill all the deer" (like nearly ALL deer) works if you're in a small community that is 95% sealed off.
Realistically, "we have no solution to tick borne disease except for hiring tens of thousands of full time hunters continuously shooting animals in residential areas to keep the deer population on the brink of extinction" is not a sufficient solution for me.
And I live in a town where we have lots of those guys. It's fine. But scaling them up to the point that we don't need to spray for ticks anymore, you'd have them falling out of trees in playgrounds.