"Why do people use Party ID as a cue?" Because it's reliable.https://twitter.com/generativist/status/1095047113354821632 …
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But, the frames are fucked so no one realizes that, materially they're way off the first principle component -- they don't see the water. This is pretty tautological, but I don't think our political system and information-environment...isn't.
I feel like your figure will be interpreted as "class, etc doesn't matter, party does". Since figure doesn't bring nuance of your text. Maybe better if y-label was "information gain of self-reported ideology" or "or ideological self-identification". But that takes away your punch
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