Taz is right. Always record dry and keep reverb for live performances.Tommy, I think there may be a downside to having reverb on your mixer. The reason is you would be recording the sax with the reverb on. This means that you would not be able to edit the sound afterwards (ie remove the reverb).
Like taking a colour digital photo. You can alter it to black and white using your pc. If you take the picture in black and white, your pc can't make it colour.
When you record your sax, do so "dry" in other words with no effects. These can then be added after, to colour the sound (now I'm confusing myself...must have a lay down)