@Hun
I'm not so much focusing on the higher dimensional nature either. What I am focusing on, is that she has an undoutable Reality Fiction difference between her higher self/mind and the universes of record, which are equally as real as the main cast. Godhood doesn't equate to power in the Nasuverse, at least not by necessity. I'm pretty sure the Gil that is making those statements could take on many divine spirits we have seen.
Perhaps the fight over control of the frame caused distortions. Either way, that seems to overtly contradict what we know about Cyberframes and Servant Containers in general.
This in no way justifies BB using the exact same cyberframe she did before. If she just shoved more than she could handle onto her body and then cut off all the stuff she could not support, then that should have put her back and square one, which it obviously didn't. I see it more like a puppet of a higher being, not necessarily a Higher being directly controlling a lesser one.
The use of frame that you highlighted is a poor word choice, since it is clearly referring to the frame of the metaphorical scooter in this case. This even further backs up that this is not the truest form of BB, since her using the same cyberframe that she supposedly hooked a shit ton of data up to. Her body became unusable since she hooked up so much stuff up to it, yet here we see her walking around with that same body. That doesn't make sense, so they are not the same body. We would see clear differences in said body.
To use her same metaphor, what you describe is like her hooking up a shit ton of various machines to a scooter to increase its power. Then, when she realized she couldn't use the scooter, she took all the extensions, divided them into other vehicles, then road away on the same scooter she started with. Your view is incoherent, and defeats the entire point.
Sorry, for taking so long to respond, and I hope I haven't missed some key point from before, since this took me almost a month to get back to kek