Correct. Not in natural language. These are natural language systems, not logic systems.

"The sky is blue" does not imply "blue is the sky".

There's an asymmetry here, too. "The sky is ${color}", with no extra context, has one obvious answer for us living here, today. Whereas for "Blue is the color of ${thing}", with no extra answer, there's an insane amount of equally sensible substitutions for ${thing}. Without extra content, the model has no reason to privilege "sky" over any other equally valid answer.