I'm A Banana
Potassium-Rich
That'd be even harder, and I can't say I'm see'n it.
Bounded Accuracy lets everyone participate, in a given pillar, where the only bar for participation is being able to make a check, sure. That's far from the same as 'balanced within a pillar,' which'd be a lot less practical to try to implement.
I can't say I see much of a distinction. Given that identifying your character as "good at talking" or "bad at talking" is important to D&D, the job of balance in the Interaction pillar isn't strict equivalence, it's to make sure folks at both ends of the curve can influence a given challenge. This does that job. They both can contribute, and their successes are pretty equal to each other. If you fail at this because you're "bad at talking," that enhances your character experience. If you succeed at this because you're "good at talking," that enhances your character experience. If you're an outlier and you succeed or fail despite your skill or incompetence, that surprise enhances the play experience. And no one's ever in a position where success or failure is inevitable, making it always an interesting engagement.
I don't really know what more you'd want to achieve "balance" here.