I kinda disagree with the composite, because it seems more a case of later works integrating previous ones, instead of everything being one single canon, especially when you start throwing in wildly different medias and disney crossovers like house of mouse.
Like, if we were to have multiple profiles, I'd be more for having singular ones which then integrate the content of those they are shown to take into account, rather than cramming everything together by making a puzzle of sparse references.
The thing is, the history does play an important part in the story as a canon. In episodes like Steamboat Silly, Mickey’s history is important to the plot. The Steamboat Willie cartoon is who Mickey was as essentially a child, and it is incredibly important to Epic Mickey.
In Epic Mickey, aside from the projector screens, multiple callbacks, the notion that it takes place in-between Prince and the Pauper and later works, has the events of Castle of Illusion directly lead up to this, etc, it further expands on the worldbuilding of the series by showing what happens to toons when they are forgotten and Oswald’s resentment towards Mickey for his popularity as a cartoon star.
It’s not just references and things that happened in past works are referred to as things that happened in their past and are important for the series going forward. It might be long, but I don’t think there’s any reason to decomposite.
The Disney crossovers are not as uncommon as you’d think. Mickey’s world at least 5 times (House of Mouse, Mickey 2013, Epic Mickey, Fantasmic, WFRR) has shown that Disney characters coexisting in the same space is a fundamental part of the universe. For everything but Roger, this is a one-sided crossover that does not interfere with the canons of other works.
If we did what you were proposing, then the profiles would likely end up being exactly the same, with it resembling how the Classic, Adventure, and Modern Sonics look, because nearly every incarnation of Mickey integrates the works of the previous sans standalone works like Three Musketeers. 2013 Mickey would essentially look just like what Mickey’s profile is right now. So if anything, it would be more confusing to give him more profiles, I think.