Within any particular "camp"-SET, OTL, pushpull pentode, solid state--there is at least the same amount of variability in sound as between the camps. I can think of quite a few tube amps that sound leaner, and more brittle than the vast majority of solid state amps.
I agree that the Atmasphere OTL (which I like a lot) is on the leaner side (not as much upper bass as many tube amps), but that is hardly an OTL characteristic. For example, a Joule OTL is a much warmer sounding alternative. I don't think one can get the same kind of liveliness and "jump," combined with reasonably high output, as one can with a good OTL amp.
SET amps can be very nimble and dynamic sounding, WITHIN their admittedly narrow power delivery range. With the right speaker, a low-powered 2a3 SET can sound far more alive and dynamic than almost any solid state amp and can hang with OTL amps.
I had a First Watt amp (J2?) in my system for about two weeks. I liked the sound--clean, clear, grain free and musical. But, the sound is still easily identifiable as solid state--slight "edge" to the initial attack of the note, not as spacious soundstage, less of a sense of ambient "fill" and natural decay of notes. I would have no problem with living with that particular sound, though I prefer my SET and low-powered pushpull amps.
With really good low-powered pushpull amps, I don't hear any "grunge" to the sound--I get plenty of clarity and a very tight punchy sound. But, the tight bass also sounds a touch mechanical (bass tends to sound the same regardless of the recording) and less tunefull and differentiated than with good SET amps. The "cleaner" sound also seems a bit devoid of ambient "fill" and natural sounding decay of notes (whether these qualities are artificially created distortions of SET amps, I really don't care because I like them). Still, I like the sound of certain pushpull amps a lot. I am currently running a great sounding pushpull amp that puts out a whopping 5 watts per channel that sounds fantastic.