There could be a correlation but not necessarily a causal effect between psychic energy and dimensionality. I think intelligence(general and specific) can factor here. Psychic energy may not even be function strength it might be an aspect of the human organism that may display as function strength but different aspect vs what socionics attempts to measure.
Once again there is probably a correlation but there's no need to be causation. Function strength is already seen to be mutable by various subtype theories. A contact subtype of a D (DCNH) subtype would have accentuated
and thus perhaps stronger
than
. I'm not sure if you understand what I've said.
The flow of information if changed would change type, if ILE all of a sudden the preferred information flow went from Ne->Ti to Ne-Fi then they would have changed types, or perhaps created an alternated TIM(dissociative identity disorder is a thing). This wouldn't change function strength either. From my study of various dissociative disorders, this is entirely possible, some dissociative identity disorders can be visually blind in one personality vs another and this can be confirmed via neural imaging, the vision receptors are simply shut off due to some trauma. I assume many more changes to the brain can occur via trauma, physical or psychological. However even if preference changes to trauma, strength might still be preserved. The model is only a efficient ideal of a information metabolism, but it has really no bearing on the possible variation that exists, which can be as inefficient in many ways as long as what is necessary eventually occurs.
I'm not sure what you're asking, information preference and valued functions are the same in socionics.
Anyways I'm not sure how much knowledge you have of neuroscience or cognitive science so you may need to learn a lot more before approaching the theoretical aspects of this topic.