It is a special TS pedal, so character (it is voiced darker, mid rangy, tubey) does not fit IMHO, especially when you like Xotic pedals, which IMHO are quite (even more than the KOT) characterless, neutral and a little flat sounding.
When you need "character" (kind of little grinding fuzz, open, glassy but also TS like)), try lovepedal eternity, could be very cool in front of multichannel clean amps, also, as mentioned, the Vemuram Jan Ray as it adds cranked Fender Blackface/Silverface distortion. Character with a soft edge "Ford", "Dumble TS Style)" try Vahlbruch Jewell Drive, Timmy.....much more character than Xotic....
Some pedals like SC and less output a lot better...
Also Fuzz; Treble Booster have even more character, but they depend a lot more on pus/sc, you have to try them to evaluate, I really like the HBE Germanium, the interaction with your volume pot is the most stunning experience with these boxes.......they normally have to be the first stomp box in your chain to function properly.
Kai