I never said Rav Shlomo Auerbach permitted it.
The article you got your information from did, yet also severely qualified the heter.
Your earlier post sounds like a blanket heter, yet the article from which you drew the heter clearly says it’s not. To quote:
One should take a quick shower in water as cold as one can tolerate (preferably cold and not even lukewarm).
It is preferable to wash one limb at a time and not the whole body at once. (This is where an extendable shower head comes in handy). If only one area is dirty, one should only wash that area of the body.