If you're going to compare 2 Fenders, 1 jazz and the other a P, there are differences. The jazz neck is a bit thinner, while the P neck is a bit fatter and rounder. Most say that the jazz bass will sound more bright and growly, while the P bass has more mid range thump.
Obviously the P has one pickup, so the jazz can be a bit more versatile. I have one of each and find the P bass very versatile since with only one pickup in the middle, a slight change in hand position makes a big deal of difference.
I really like the P and would recommend it for blues, rock, metal etc...
There really are lots of basses in your price range. Not a p or a j, but for a very versatile active 4 string, check out a G&L Tribute. Ibanez, Yamaha, Washburn, Cort etc etc... all have nice active basses in that price range.
Obviously the P has one pickup, so the jazz can be a bit more versatile. I have one of each and find the P bass very versatile since with only one pickup in the middle, a slight change in hand position makes a big deal of difference.
I really like the P and would recommend it for blues, rock, metal etc...
There really are lots of basses in your price range. Not a p or a j, but for a very versatile active 4 string, check out a G&L Tribute. Ibanez, Yamaha, Washburn, Cort etc etc... all have nice active basses in that price range.