Sorry DIY but I have to call BS on those using crossbow as not being bow hunters. So can you please tell me where you draw the line. The compound bows today are launching arrows at close to the 350 fps range with PSE advertising one at 370 fps. There are not many crossbows today that can exceed those speeds.
But just to look at some ballistics using moderate (average speeds) with average weight arrows, forgetting the IBO ratings this is what I found using an archery ballistic program. A crossbow launching a 350 gr arrow at 305 fps (this is the supposed speed of my Excalibur Ibex) at 20 yards the vertical drop is -8", velocity is 292 fps and KE is 66 ftlb and at 50 yards VD =-55, V= 274 and KE=58. Now using my new Mathews shooting a 415 gr arrow at 285 fps the same program shows at 20 yards a vertical drop of -9", velocity at 274 and KE of 67. At 50 yards the same values ar -62, 259 and 59.
So a reality check is yes the crossbow does have and advantage. At 50 yards the advantage is 7" less vertical drop, and 15 more fps. But the compound has the one ftlb KE edge because of the slightly heavier arrow. So IMO these figures are insignificant.
I didn't go beyond 50 yards because with the noise generated by a crossbow vs the reaction time of a deer would negate any advantage the crossbow would have.
So we all have our opinions and I say that hunters who use crossbows are bow hunters. And you are right that there is less movement involved with using one. But if you know what you're doing you are likely not to get caught drawing your bow. It's only happened to me a couple of times in my, well this will be my 50th year hunting with the bow. And that was with a compound. When I used my recurve long before compounds came out if the deer saw me drawing back it was too late because the arrow was already on the way before he figured out what I was.