Not really, an alto can be played in a tenor but a tenor will never have distant high notes even if the alto is in the highest note. I also take into account that some compositions played in tenor like this Boy With Luv Bts MP3 Free Download - MP3 Juices RED have the sound in soprano. So, according to you, soprano and alto can be played in tenor and still add bass and it won't sound good? Have you ever listened to a tenor? It's a classic and all alto's are played that way.
This is getting confusing. Surely tunes just need transposing correctly then will play in tune, all be it at a different pitch depending on which sax is being used. Only odd one is if low A is required then can only be played on baritone, unless played an octave up or just replace low A with next A above.
Misty is one of my favorite tunes, and I've played it many, many times on tenor and soprano with my jazz combo over the years. We always do it in concert F, a whole step up from the Real Book version. I've never actually read the chart. I learned it by ear and have played it from memory ever since. Once you have the sound in your head, it's pretty easy to play it in any key.