.
>> “Besides, there is still the matter of the Temple Mount not being the location of either Solomons or Zerubbabels temple.” <<
.
I hope that you don’t believe that!
Solomon’s elevator for the ark is clearly visible on the surface at the mount.
The second temple may have been elsewhere; that cannot be ascertained, but Solomon’s temple was on the mount.
Where is the Gihon Spring then?