And thus the sleeper awakens after a hellish string of nightshifts finding that he missed a bunch of interesting discussion on power classification and stuff. As this cannot stand, the topics shall be carried back to the surface. (Expect rambling)
Honestly, the biggest problem with the system might actually be that it forgets its own purpose fairly frequently. That is to say, a system to give their response troops a quick overview of what tactics are suited to combating the super in question. For that, classifications like Changer are utterly useless. Okay, so the super can change into another form? How do we deal with that/those alternative form(s)? I dunno, let's add more tags! (Breaker has a similar problem, but at least has some use in that the operatives know to, if possible, aim for the vulnerable not powered state.)
Though, while we're listing categories which have multiple vastly different meanings, Trump encompases both powers that alter/grant the powers to/of other people (which already is a fail for the system in that it requires different tactics, but at leas fits together mechanically) and supers that can shift through different sets of powers themsevles, which is vastly different and also suffers from the above problem of telling you nothing wit additional tags.
Weirdly, this reminds me of the Puff equivalent of the sword in the stone.
If you go with a threat system abstracting it by removing mechanics would likely help with cutting out useless categories. On the flip side, as you yourself kind of adress, this can lead to a bloat in the categories which are relevant, making it rather cumbersome and thus impractical to relate the information quickly. Though, I do have an idea on how to fix that. Short code, so just OX (X standing for any given value of the power score) for an offensive power, for example, to cut down the word usage. (Which also means that same initials are to be avoided, so I'd change Deception to Control, but more of that in a bit)
Though, even then just going with "Offensive" is fairly vague. If nothing else, you at least need to now the range of the attack power. For that we can either add more categories, which would bring us closer to the Worm system again and thus defeat the point of the system. What we can do to solve the problem is subtypes, along with a two digit system for the short code. So for example O0X is an eternal/touch power such a super strength or natural claws, while O3X is the ability to fire some kind of beam attack. (Similairly, you could make a combination code of OD0X for Brute power sets.)
For other categories you could have, let's say C1X for information control, C2X for controling minions and C3X for controling other people outright. I suppose a stricter coding for the power scale than just "strong" might also help. For example, if type one Logistic powers (L1X) anre mobility powers you could seperate powers that only move the user (enhanced agility, flight) and those that can be used to move groups od people (creating vehicles or group teleportation) in odd numbers (only user) and even numbers (groups).
Similairly, syntax can be used to seperate relation amongst the powers. For example, if a super can control minions/people, put powers that the super themself can use before the part of the code that denounces such minions and the parts that relate to the minions behind. So for example:
Nighthound: OD0X L1X(odd) C3X M1X (Let's say M1X is the code for gifting)
Rachel: C2X OD0X L1X(even)
(For those that don't know, that one is a Worm character that can turn dogs into giant monster dogs, making them more durable and suitable to act as mounts for the group)
Now, the proposed system I just build from your pitch has one glaring problem I'm sure you all noted. It's as complicated as all stages of Damnation combined, which means I doubt it's a system that would ever catch on for casual use. However, it'd be fairly ideal for expert use, such as the PRT. If only because it means nobody else can easily decypher their notes.