And I think you're being hopelessly optimistic/naive. While it is undoubtedly true that, for most people, practising something will lead to an improvement in that skill, in my experience (26 years teaching), it doesn't appear to hold for everybody. Some just never seem to get what it is they're trying to do. That seems fair enough, not everyone's brain is wired the same. If your goal is to play the saxophone then it makes sense to try different methods. If proceeding by ear is proving slow then try reading. You get a bit of instant gratification by being able to play the tune you want to. It's the sort of thing that keeps learners motivated. If you can't improvise over a complex set of chord changes by ear then look at the chord chart and try to understand what it's telling you.I think that's a mistake Dibbs, I think you've been misled.
It's no good to keep saying "all the information is in the sound" because if it takes you 10 years to extract it then you're going to be very bored and give up long before you reach your goal.
Do what works for for you - what keeps you motivated, what allows you to play what you want and don't worry about some esoteric, purist philosophical approach.
