No problem! My thinking, in making such a distinction, was simply that live recordings can provide a sense of being "with the musicians, in the club", as the music is unfolding, moment-to-moment. I don’t regard live recordings as inherently superior, but they can offer a greater sense of "immediacy".
I don’t know how to insert an image -- it used to happen automatically, when the url was typed but that changed at some point. I’m afraid my computer skills are elementary at best!
I will look for the trumpet recording you mentioned and see if I can find any live Turre recordings.