I have a 1998 Fender CIJ Geddy Lee Jazz Bass and it had the Badass II installed....and I used it for years with that bridge....
Years ago now, I removed it and replaced it with the standard, Fender "L" plate bridge and I will tell you right now, that there was no difference in sustain or tone.
The "L" plate just looks better on it too and that is the way it was when Geddy first picked it up at the pawn shop and it remained on that bass all through the Moving Pictures and Signals tours back in 1981 and 82/83....
For whatever reason he installed the Badass II sometime in between 1982-1994 because when he broke it back out for the Counterparts album in 1994, the Badass II was installed.
I'm not a fan of the Badass II. There's almost no string break angle and It's just way too honkin' big and takes up too much room.
Now, I have Badass I's on two of my Rickenbacker basses and I like those. I also have another Badass I waiting in the wings for my current bass build....... had to have the body routed about 1/16" deep for it though...
Overall, I think that hi-mass bridges
look like they're going to make your bass sound even more great but in reality, I think there is no sonic difference acheived by using them.
(hey, but I have a few basses with them, so..)
If that Badass II is a "hi-mass" bridge, I honestly noticed ZERO difference in the sound or sustain on my Geddy Lee Jazz Bass when I swapped it for the old "L" plate and I like the way it is with that old stock bridge.