Not merely distinguished from “God the Father”, but from “God”. In any case, when Bible writers use the phrase “God the Father” they appear to use the phrase synonymously and interchangeably with “God”.
Philo's position. The God, (El Elyon, Most High, ὁ Θεός ὁ ὕψιστος) distinguished from Logos/God.
I've been putting pieces together that I'd observed but never connected. Perhaps the merging of ancient traditions of El Shaddai and Yahweh was never complete. There seems to have always been some who identified Yahweh as a subordinate to the Most High. This persisted in some circles, then further developed into Christianity. 'Name theology' and 'Kabod' embodiment also understood then not as a break from the past but as a twist on it, or perhaps a rediscovery of it.
IOW, in some corners and some texts Yahweh=The Great Angel, the Presence, the Name, the Logos. His Father THE God, Most High. I've run across this before, maybe another thread.