"instead of bidding 3NT, cue bid 4♥, get the expected 4♠ response, then bid 4NT RKC"
Better still, cue bid 3♥, get the expected 3♠ response, then bid 3N natural...
A bidding diagram would have been superior to listing the auction.
"we bid on ANY hand strength and EVERY distribution other than some 4-3-3-3 or 5-3-3-2."
If the NT opener's side declares, this would seem to give your side quite an advantage on defense insofar as declarer isn't in on it...doesn't quite seem fair to me.
Most 5-card staymans I've seen allow looking for a 5-card major without requiring a 4-card major by responder -- this version doesn't. What advantage(s) does this version claim over already published versions (to make up for that)?