It does sound as if you've come to an important discovery and I wish you well with that. I love my alto and had to work to get the tenor to a level that I was happy with - thankfully now achieved, and I enjoy playing soprano, alto and tenor very much, indeed. We all have certain sounds that we aim at and it sounds like you may be clearer about your tenor sound than your alto sound, which is not uncommon.
If you already have a decent tenor why do you want another one? why not a soprano, for example, unless you are just happy with playing tenor.