That could be good to do like you say...
I'll tell you how I do, this is maybe not the best way overall, but that is what I'm doing: after cleaning and with the patch used, I put a powder charge, the patch over this and I shoot the first time without a bullet, only with the patch. In that way, the barrel is clean but with a deposit of powder that'll be cleaned with the patch of the real first load.
This way I know that my barrel is ready to shoot well at the first shot. We call it "barrel powder burning" and it works well with French or Swiss powder...