I think it may be important to note _when_ to redo this. I started off this way, but after working with a guitar teacher (a Berklee graduate), he recommended that I continue on with the song and return to the problematic parts afterwards. If you constantly stop at the problematic parts to replay them and get it right, you'll have no idea what other parts you'll have trouble with further into the song until much later. In addition to that, being able to move on and continue playing the song after making a mistake is an important skill itself. If you build that skill, it's usually only other musicians that will notice -- a regular audience won't.
What's your take on it?
Practice makes perfect is a thing, but that's not exactly rehearsal.
With practice you expect to improve, broaden, or maintain instrumental or musical ability for the long term. There should be no deadlines or need for actual listenability.
OTOH rehearsal is the run-up to a smooth listenable performance with a decidedly short-term objective by comparison. Unless you are rehearsing to absolute perfection, you do not halt for anything, the show must go on and that in itself requires you to practice covering up and compensating for your mistakes or shortcomings as you go along.
With practice you are actually trying to become a better player overall, but rehearsal is more about making the next performance as good as it can be and that's it.
If you're not actually as good as you would like in either regard, having a bit of commitment to simulating what you need most can give some direction itself to add to the mix.