This theory is far from a confirmed fact and has attracted minimal scholarly attention let alone support.
It relies on a completely unproven assumption that Early Muslims had a highly accurate means of calculating direction, which they quickly forgot about within a couple of decades, as we know that Muslims were praying in very approximate directions in the late 7th C, and that precision was not particularly important to them.
So:
Mid 7th C: Precision was important and possible
Late 7th C: Precision was unimportant and impossible
Jacob of Edessa, (late 7th C), note the cardinal directions:
Your question is vain... for it is not to the south that the Jews pray, nor either do the Muslims (mhaggriiye). The Jews who live in Egypt, and also the Muslims there, as I saw with my own eyes and will now set out for you, prayed to the east, and still do, both peoples-the Jews towards Jerusalem and the Muslims towards the Ka'ba. And those Jews who are to the south of Jerusalem pray to the north; and those in the land of Babel, in J:Iira and in Ba~ra, pray to the west. And also the Muslims who are there pray to the west, towards the Ka'ba; and those who are to the south of the Ka'ba pray to the north, towards that place. So from all this that has been said, it is clear that it is not to the south that the Jews and Muslims here in the regions of Syria pray, but towards Jerusalem or the Ka'ba, the patriarchal places of their races.
Also given that factionalism was already rife in the Muslim world, pulling off an 8th C Switcheroo and getting everyone to quietly acquiesce to it would have been no mean feat.