I love my passive Jazz Basses but I reckon a lot of that is because I've used them since I started playing 20 odd years ago and they feel so comfortable and familiar.
I had a Stingray for about a year when I was in a three piece band and the sound was enormous - I couldn't believe how powerful it was in comparison to my Jazz - but as soon as that band disbanded and I was playing in four/five+ pieces again I sold it and went back to using my Jazz for everything.
Personally, I don't reckon that the Behringer will give you anything like the full fat bottom end that you're used to with your Stingray - I've never been able to get massive bottom end with any single coil pickup basses I've had.
Interestingly, reading your latest comments dude, I wouldn't be at all surprised if you eventually do what I did, just the other way round if you know what I mean... move on your Jazz for a another tried, trusted and loved Stingray.