OK, so I re-read the document again and these are my thoughts:
I believe in a setting where everyone has innate access to the universal energy source and can enhance it via training should automatically qualify for getting Empowerment like that, not the other way around where you need to prove the existence of Empowerment to confirm a Universal Energy Source. Naruto and Dragon Ball are very obvious examples (Since both those verses repeatedly hammer down the fact that everyone can use ki/chakra, just that they'll have to train harder if they wanna grow stronger and have their ki/chakra reserves grow more controlled and potent). If anything, it should be a default assumption that in a verse with a tightly-integrated universal energy system people should be readily able to access and harness the UES's energy for their own means, especially for something as simple as enhancing their physical strength.
Them being able to empower their weapons with it is a plus honestly. But it shouldn't be used to leave out people that have innate access to the UES but don't use it to amplify the strength of their bodies because reasons. It should be fine as supporting evidence, however.
Looks fine at a glance.
Now that I look at it, it's kinna restricting. You just need to prove that they can tap into the universal energy source to use for all their attacks, physical, elemental, whatever. That's it. But it should work nicely as supporting evidence if mentioned.
No problems here. You should also add that removal of said power source could also be represented as being able to cause excruciating pain/trauma or cause excess fatigue from which the character could potentially end up dying. So I'm perfectly fine with this.
Seems okay, no problems here, though at some point you can expect these characters to eventually duke out against each other where the commonality of the energy source may become irrelevant and simple powerscaling should more or less even out the odds. Also I agree with the "core underpinning part", that should certainly help out as supporting evidence, that point should take more precedence than the system itself serving as a power source for the characters I believe.
I share the same concerns as DDM and Axx regarding this. If the Totem serves as a universal energy source for the entire verse, then it is fine for it to fall under the normal universal energy source guidelines
Not sure if I agree with this, just because it is a storm or creation feat or somesuch doesn't mean it suddenly falls out of favor of use, especially if they can then harness said power and focus it onto their bodies. Basically proves Axx's point. Without any direct statements or confirmations from the story itself, the only other surefire way you can scale Environmental Destruction Feats to yourself is via a universal energy system. Of course, if it's greatly above the character's usual showings, just leave it as its ultimate attack if it is offensive, or as a separate ED feat assuming it isn't used in an offensive manner.
I'm fine with this, as long as you don't use it to downgrade a god-tier's feat just because the fodders have lower showings. Context matters immensely when dealing with stuff like this, a god-tier might have only one Universal feat but if the plot makes it to be an incredibly important event (Usually in the very end of a story where it surpasses everything else and there's no chance for fodder level enemies to even compare, just to show how OP the final god-tier boss is), then it's enough to suggest that the feat isn't an outlier. Otherwise, you might as well axe the universe-busting feat Goku has right now because he did it only once despite using God Ki and Super Saiyan God to amplify himself to levels that far surpass his DBZ self. And we both know that that's not gonna work in any scenario. But then again, I believe this specific Criteria is already rendered redundant with our Outlier policy page so...
Seems fine at a glance.
Yeah sure, why the hell not. MHA's Quirks are a great example. Endeavour serves to be one.
Honestly, given what I see, they should really serve as guidelines and not as absolute mandatory rules, but still highly recommended. This is how they should really work to be honest. If it fulfills one condition, everything else becomes supportive evidence in the long run.