I think the current wording is not only acceptable, but frankly a Good Thing. Because some people who hit the ban, do post new questions shortly thereafter. And not even just because of bugs.
The fact is, most people who hit the Q Ban don't go very far past the threshold. No matter how secret the algorithm is, it's a rather simple fact that if you post your last question, and it gets a couple of downvotes and a delete, and that puts you into the ban, you're no more than a couple of downvotes and a delete past the magic number. Probably less. And that means they're often only one or two upvotes away from coming back up above that quality threshold and being able to post again; I've seen people posting here on Meta about a Q ban who edited things, got free of it, then got re-banned again shortly after because of a downvote or deletion on something from before the ban, then got re-un-banned again shortly after that.
When someone skims the top of an automated quality ban, I don't want them to come out of it briefly and re-post the same questions as before, even if they're higher quality. I want to see them edit their old stuff, since that can lead to undeletions, removed downvotes, etc., which all help keep them from setting the ban off. And so, I want one of the things we tell them with emphasis to be that re-posting the same thing is discouraged, and that editing their stuff is the better idea, so that people who honestly want to participate can improve, and can move farther away from any chance of setting off the ban again.
And anyway, the wording "Begin by fixing your existing posts; do not just post the same question again from another account" doesn't change things much anyway; the quality bans have several times been described as being explicitly at a lower level than per-account, so that people who hit it can't simply create another account and keep on posting crap. If you want to change the wording because you think it currently describes something that the banned users can't do, you haven't really gained anything.