Well you asked, so here goes with one observation. Please understand I have done this too and have caught myself, so don't think this is coming from someone who think he's a pro.
But what I saw with both you and Wyatt was the gun moving fairly significantly as you pulled the trigger on the already spent round. This indicates to me that you're anticipating the recoil and flinching a bit......again I've done the same.
There can be no doubt that a .470 may not be the kicker a .500 or .577 is, but it's not to be taken lightly. So I'd be working on doing everything you can to minimize the recoil through learning better technique.
I like to pull in hard with my off hand while pushing somewhat forward with my trigger hand. Also I have no qualms using a sissy pad on my shoulder. Past that you it's a bit of a mental game. I know it's going to kick hard and I'm limited in the number of shots I'm going to take in a range session. But I also have to remember that it's not going to kill me either.