If I could find a phone where I could pick out a jazz vs a precision bass then I'd know I had a spectacular phone but to be honest i don't even think it's possible for that level of bass detail. The only difference between the two is the thinner neck which isn't even hearable in real life although it plays different, and the different pickups which is hearable in real life, but even then one has to be paying close attention. To pick that up in any audio system is a near impossibility. I settle for just being able to pick out the bolt on fender from the neck thru rickenbacker which in real life are Very different sounding but still hard to pick up in audio playback.
I've always found the J bass more fun sounding and the P bass more accurate maybe, or less nuanced, I guess. This is from live stuff, not recordings. I do think the Firebird sounds pretty different from any Fender on my Magnums.