if vinyl records potentially contain all of this extra information but you have to mix it out in order to play it back, is there some approach to take to take full advantage of the medium?

sure!

you'd just need to eliminate the physical touching in the playback process. you'd have to take out the cartridge and take out the tone arm. maybe you could replace it with a laser or something.

otherwise, no, or not without turning playing a record into doing a physics experiment. do you want to build a clean room in your basement? build a machine that stops a tone arm from vibrating? tricky stuff. it would cost a lot.

so, vinyl is in practice limited by the physical characteristics of the playback mechanism to a very restricted frequency spectrum that makes it sound very compressed. a lot of consumers like this. but they have struggled to find adjectives to describe their experiences using science and have said things that are factually, empirically wrong, as a result.