although you did make clear you were not writing saying it is lehalacha and you said ypu know most poskim don’t hold like this i would like to mention R’ Ribbiat (i think it is him i dont want to misquote him) that even if the pilot is off it is still assur since the water in the tank is still yad soledes and you are making cold water come in
even if it is grama it is a a psil reisha which at least by ashkenazim is assur unless done through a derabanon so maybe you could do it with a shinui…