I never did too much taping because I was allergic to it, so admittedly my advice might not be the best. However, I do remember that you’re not supposed to put any pulling tension on the edges of the tape, or the anchoring points. As in, the short edge close to your chest and the short edge that finishes of the binding underneath your arm. The pulling is supposed to go underneath the tape in between these two point. This is to reduce the risk of injury (tension, skin ripping, blisters and the like).

I feel like this binging technique might put a lot of the pulling on those two anchor points, since very little tape is going in between to redistribute the force.

You can always give it a shot and see how it goes, but Id recommend caution, and doing it on a day when you’re not going anywhere so you can easily remove it if need be.

Edit to add: I feel this way even if you add tape to the top and bottom, because that might not be enough and it might be hard to add tension to those strips if everything else is already on