Relevant to what?

To decision-makers.

The only reason we prefer beauty₂ over beautyₐ

I think I'm going to refer you to this post again. Having a beautyₐ which implicitly rather than explicitly restricts itself to humans runs the risk of being applied where its not applicable. Precision in language aids precision in thought.

I think I'm also going to bow out of the conversation at this point; we have both typed a lot and it's not clear that much communication has gone on, to the point that I don't expect extending this thread is a good use of either of our times.