It would be interesting to hear some demoing the three together, because there is not a single timmy demo that sounds great on internet. I base my initial opinions on Proguitarshop demos, because andy uses the same guitars and same amp and a good mic, so I can make a comparison and get an idea of what a pedal sounds like. But on PGS there is no timmy, and no KOT. There was a Klon vs Kalamazoo and I liked both, that's why I wouldn't mind buying a kalamazoo without trying it before.
You're making me want to try the LTD SR now...I have owned all three at least twice each, currently own none of them. I just sold my Timmy last week. I kept my LTD SR and Clark Gainster to use with my 5e3.
I would rank them:
3. KLON (distant 3rd, I did not like the buffer at all)