I don't disagree with you there. It's all level of ease, right? A recurve is much harder to hunt with than a compound bow, but it was still allowed. This is way before my time, but I'm sure there were a lot of recurve folks fighting against the use of compounds with a lot of the same arguments folks have today against crossbows.
I'm not sure I fully agree with you. A crossbow hunter still needs to bring up the crossbow. Additionally, movement isn't nearly as big of an issue as some of the other things I brought up. Hunters can get away with a lot of movement before an elk will spook. I'm not getting this as much from experience as I am from experts like Corey Jacobsen & Chris Roe (and I'm sure others) who have talked about this extensively.
It's all set by how one defines "archery," right? The items you listed are percussive weapons, rather than using an arrows as a trad bow, compound bow, or crossbow does.