That is funny, because I am under the impression Bill whatever created the Klon circuit to push his Fender Reverb amp?
The Timmy is the only other beloved circuit I have yet to try...
Bill Finnigan. He says he designed the Klon to make his Strat sound more like a Les Paul.
I like the Klon through my blackface Fenders. I like it through my Blackstar Artist and Artisan amps too.
But we all have our preferences and there are lots of choices.
Stevie Ray liked old Tube Screamers as we all know. So do I. So does Eric Johnson. Both are favorite guitarists of mine and I own one but I don't use one.
Jeff Beck, who has been my favorite guitarist since about 1965 when he played with the Yardbirds, uses a Klon, and has for quite a few years now.
One of the beauties of the Klon is that I can leave it on all the time and it cleans up when I turn the volume control of my guitar down.
If a player is more into grinding fuzz and heavy metal tones there are pedals better suited for those tones.
And truthfully, for more saturated tones that are dense, thick, fuzzy and violin like, I use my Hermida Dover Drive.