We can talk in generality, but in reality, nothing is ALWAYS. Generally, A "D" shaped longbow is not as speedy as a well designed recurve. A well designed hybrid or R/D longbow is approaching a recurve in performance. Some of them can exceed recurve performance. That said, often there is not very much difference, in performance between them. Since most deer are shot at less than 20 yards, speed, unless hugely different, is not so critical.
Also in general, longbows are quieter than recurves. Again, a generality. All bows feel different and me describing them is just that, my perception. Go to some shoots and ask to try bows or at least check them out and handle them. Make your own decisions.
ChuckC