The E3 S1 is a direct drive extruder, right? If so, it should produce some kind of results for you although in my experience you have to retract TPU pretty far to get results, like 5-6mm. In my experience it always oozes as least a little bit so long a your nozzle is at temperature and there’s any amount of the stuff in the chamber, so you’ll never fully eliminate stringing. But some retraction should help, and you can get it down to being very minor.

On a Bowden type extruder, though, it’s basically a fool’s errand because the stuff is so damn elastic, and is also slightly compressible to boot. The more length of it you have between your extruder gears and the tip of your nozzle, the more its elasticity becomes apparent. I think this is where the “common wisdom” of no retraction on TPU came from. The stuff can kink and then jam in a Bowden tube if you really go at it with gusto.

Anyway, you could also try a fairly long “wipe after retraction” setting.