I currently own both a SR5 and a warwick streamer stage II
let me say first both basses are excellent. everything that has been said on here is subjective, one man's floppy B is anothers dubtone!!!
The streamer is my everyday bass, and has been for 5 years. its got the jazz bass tone kinda happening but its the warm punchy mids that I love and I often roll of the treble to get a darker sound. its great at finger style and is constant, never lets me down.
having said that I have done a hell of alot of work on the bass. Replaced the preamp with Aguilar OBP3 and swapped pickups for Nords Singlecoil jazzes. this has taken this bass on to the next level. I've installed a ramp between pickups to ease the fingers and this really helps. I've wanted to have the neck skimmed by mr peterson for a long time but I dont think I'll bother, I'll hang on for the Fbass!!!
The stingray is the badboy...
Right out of the bag its killer, no messing...
I can get flea's, Nard's and Louis Johnson's tone straight away with little work.
The tone is sooo distinct that it just doesn't fly in every situation like the warwick. The slap on this this is amazing!!! so much easier than on the streamer, just because of the body shape. the stingray body isn't contoured at all, ala fenders and when slapping my hand hits the lower horn and stops. personally I love this as my area of attack is reduced and i can work with alot less energy. the warwick body is curved and the body falls away from the neck join, thus kinda making it harder. this only person taste, and will probably never bother you. marcus miller has a similar concept with his vintage pickup guard.
Both are really good basses, one requiring a little more work than the other, but I think it should come down to your taste. what are you going to use this bass for? what are you going to play on it?
the issues with the neck, body, etc etc are all up to you and there really isnt a right or wrong. just make sure you are comfortable, no point having a instrument that is fighting against you, even if its the sickest thing since the Bass Of Doom!!!