I'm not a being pedal guy, but that being said, I do like to occasionally boost or color the pre with some stuff. Recently, i have been using a Tonefreak Albunai booster on the B'man B for some slide stuff and a Keely comp to boost the VOX a hair to get a semi-Dumble thing out of it. I used an original Tube screamer on the rhythm guitar track on Bionic Hillbilly on the Hectic Watermelon album. When going for a smooth and creamy fuzz tone, I have used the COD B all by itself lately, instead of my tried and true Fulltone 69 into the SL. I have all the Egnater modules, so it's just more flavors. I've been recording Mike Keneally's new album over the past month and he's digging these same tones with his guitars and playing style as he's been using my studio rig.
On the TS, I think it has a characteristic hi pass filter thing goin on in there. It always feels like it cuts some of the very low bass, so even if the gain is off all the way, it seems to focus the tone somewhat. If the pickup and amp combination you are hitting has gobs of bass already, then this can be very desirable, it can also sound thin and puny on other pu's and amps.