@DY: You said that nowadays we aren’t Mechallel Shabbos to heat water. I asked if we pasken that ?????? ???? are doicheh shabbos or not.
You also said that it is still assur midrabanan. On that I asked why we don’t say ???? ?????? ????? ????? ??? ??? ?????, which will make it muttar midrabanan as well.
(I think Halevi posed similar questions on Yekkes original post a couple of pages back. I searched a bit on Hebrewbooks, and a couple of sources discuss similar problems with this Shaagas Aryeh, but most of them argue, they don’t answer.)