Swami.
I assume you're talking about the TS9DX Turbo Tube Screamer. If you like that for bass, but want more clarity, then having it modded my either Analogman, or Robert Keely, might be the answer.
(I'm a guitar player too... and an effects nut...) And what I've been finding lately is that some of the qualities that make me DISLIKE pedals for guitar, make me LIKE them alot for bass.
I've used the TS9DX on bass with great success in some past recordings.
The TS9DX, like any tubescreamer or clone, is op-amp based. A known think about op-amp overdrives, is that if they're hit too hard on the input, you'll get a "ghost note" - it will sound like the clean sound is coming through, surrounded by the overdrive buzz. Might sound bad on paper, but sometimes on bass, it works well to keep that fundamental note. of course, all effects are a little different with this. The TS9DX has the 4 settings: turbo, hot, etc... which all dramatically increase bass, making it suitable for a bass guitar. A regular TS9 cuts ALOT of low end...
As far as the OCD. That's my absolute favorite pedal for guitar. I'm I'm using a channel switching head, I'll use the OCD as my mid-crunch sound. If I'm plugging straight into a clean amp, I'll use the OCD boosed by another OD as my main overdrive sound. Love that pedal. Great harmonics, and juicyness, and tubeyness.
It's not super, super versatile, but it does what it does very well.
One thing I HATE about it, for guitar, is that if you crank the drive past 11 or 12 o clock, the bass just becomes WAY too unbearable on a guitar amp. However, on bass... it really stays nice and thick, which is nice.
Ok. I'll try to sum this up.
I don't think of the TS9DX as Fuzzy... but I do think it can get buzzy, like I described. And op-amp overdrives can sound plastic-ish sometimes.
The OCD has much more of a real-tube vibe going for it. While not intended for bass, it can do some very good bass heavy overdrive stuff. But I wouldnt try it with the gain set anywhere below 11... or else the bottom will just not be there.