I use both... I love the Chromes on my Jazz bass. I have a passive Jazz and it's pretty versatile. I can get a tone similar to JPJ on early Zep to Flea on Stadium Arcadium just by changing the way I attack the strings.
I'm uploading a clip of me playing... excuse my suckyness

First sound clip is Dazed and Confused by Led Zeppelin, both pickups all the way up, tone rolled back about 25%. Second clip is Charlie by RHCP, both pickups all the way up, tone all the way up, with an aggressive finger picking technique. Then some slap on Blackeyed Blonde by RHCP, both pickups and tone 100% up. Then a little pickstyle in Holiday in Cambodia by the Dead Kennedys to give you an idea of the versatility of these strings. I recorded this with my MIM Jazz Bass with Quarter Pounders, direct into my Macbook w/ Garageband, no effects or amp models.
http://www.monkeypals.com/SuperSnake...hromesclip.mp3
These strings are really versatile... hell, I use them in my metal band!

They give the jazz a lot of extra low end that it doesn't seem to have with rounds (but that shouldn't be a problem on your active bass). What I love about them is that you can slide up and down the neck with no finger noise (I did a lot of sliding in the Charlie clip and you can't hear any noise

)