I have played Jazz basses and Ibanez SR's for the majority of the time I have been playing. I just assumed I would not like P basses with their thicker necks and limited tones. So, I never really tried one. I recently got a good deal on a Fender Classic Series Precision and thought I would give it a try. I played it alone at home and liked the neck way more than I thought I would, but didn't think much of the tone. A few days later I took it to band practice and that is when the true revelation occurred. I have never played a bass that sounded better with a live band. The term "cutting through the mix" all of a sudden meant something to me. The tone that I didn't think much of playing at home alone all of a sudden came alive. I have played 6 shows with it over the last two months and have loved the way it sounded at each one. I have begun to sell off my other basses and am already GASing hard for a good 5 string Pbass.
A lot of people neglect favouring the neck pickup on a Jazz bass whether live or in a recording situation, but there are a lot of thick, punchy, tones and useful midrange contained therein.