I think that the feeling that a specific evoques is completely personal and depends on the “tonality” of your speech and inner voice, and how that tonic chord relates harmonically to the tonic of what you are listening to. Though I think that is a really weak theory
My favourite key is possibly Eb minor, I don’t know why, but it is the “tonality” of my thinking (most of the time when I think of an stable chord and I get the notes in my head, I go and play them on the piano and they are Eb, Gb and Bb.
Technically, this key should be the saddest (six flats), and its relative major should then be the saddest major key according to that theory. However, you will find very little Gb major, to be substituted by F# major (Chopin barcarolle, Scriabin’s fourth and fifth) this is following the logic that the relative major of the saddest should be happiest. I agree with this, so if I at some point write works in the 24 major and minor keys, I would write in Eb minor and F sharp major. This would have interesting consequences, such as considering C major a flat key (0 flats) and A minor a sharp key (0 sharps).This because there have to be twelve flat tonalities and twelve sharp ones.
As a development in the F# vs Gb, I would recommend comparing the melancholic Rachmaninoff prelude in Gb to the ecstatic barcarolle in F sharp major by Chopin. That comparison makes me think that perhaps composers are influenced by the name and “qualities” of a key while composing
Another interesting example is Db, which almost sounds sad (I don’t know why)
This gives room to debate and study, but after all, everything is personal in the world of tonality, and it is pseudoscience.
I hope this answers your question