I'm giving that advice as a raw beginner on sax myself.
I put about an hour or so of backing tracks, all in the same key, and originally all similar blues progressions, on a USB drive, turn the stereo up and just jam the major and minor pentatonic scales over them.
I've been doing this with the little pocket sax since Christmas, my Soprano only arrived a week ago, but it's almost a straight swap from one to the other. The pocket sax I have is in Bb, uses an alto mouthpiece, and the basic fingering from low C to middle C is the same.
My wife is also learning, she started the pocket sax perhaps two weeks before the tenor arrived a month ago, and now plays the tenor almost daily.
Due to the practice on the pocket sax, we both could play "When the Saints", and the D minor pentatonic scale within minutes of playing the tenor for the very first time (not well!). The hours on the pocket sax meant that we had developed some embouchure muscles and skills.
I just play outside and have a few beers while I jam to the backing tracks practicing scales, but my wife will practice without them for an hour or so. At some point I'll hear her "sagging" and starting to sound worse, not better, that's when I'll pull out the sheet with the pentatonic scales on it and put the backing tracks on. Then instead of packing it in for the day, she'll get a second wind and play for perhaps another hour and a half or more, basically until she hits a backing track that she doesn't "feel".
It's only been a few weeks, but she's close to the stage where if I record her, so she hears what I do, it will give her much more confidence in her playing, which in turn, will improve her playing.
There can be no doubt though that that the extra hours due to playing to the backing tracks is helping her embouchure, and helping it to come naturally, rather than her having to think about it.
I personally think that it's a great practice tool myself, especially when just starting to learn sax. 🙂
I'm not dismissing the points you make, and I understand where you're coming from, they're valid points.
I just don't think that my comments I made about the backing tracks should be disregarded. 🙂