All those elements are exactly what tubes are all about. Endless threads on such characteristics here. SS is not meant to work in such a way. But one person's clean channel is another person's drive, that's the nature of individual taste.
Gotta agree with John on this one, and here's why...
Coloration of tone---some amps do it, some don't, and topology is completely unrelated to it. SVT's and B-15's have a little coloration with knobs at noon, V4B and PF-50T don't, while Fender, Marshall, and Hiwatt can be pretty extreme with the coloration in their tube amps. But so can Fender, Hartke, and GK SS amps. You can also move knobs to get a more flat-response sound if that's your thing, too. So it's not a given that all you can get out of tube amps is a colorized tone, nor is it a given that SS amps will give you uncolored tone.
Compression---I don't like it and try to avoid it. Yes, when you start to crank tube amps into the red, compression will start, and it's lovely if you like that sort of thing. But I don't, at least on a gig, and if I'm cranking a tube amp, I'm doing it to get distortion, which I do like to do when I record but no other time because people will complain that I'm too loud. But to my ears, the sound of a tube amp not being pushed is very uncompressed. Not to say that I haven't got good tones with little or no compression out of SS amps, but I just don't hear compression in tube amps running clean. And again, topology is unrelated, and SS amps can compress just as easily as tube amps. I once AB'd my SVT and Little Mark II that I used to have on a gig, and the LMII was noticeably compressing my sound while the SVT wasn't. So my belief is that if a tube amp is compressing, it's a user choice, or a design choice and not law.
Distortion---THD is rated at the top of their RMS wattage, and traditionally, tube amps have been given a lot more leeway over it because they usually have a more graceful easing into it than SS, so at their top clean volume, you can have more distortion and still sound clean. But what if you back off the volume a little? Or a lot, as what happens when I use an SVT or V4B? That THD level goes down accordingly. How far down, I don't know, but it sounds as clean to me as the cleanest of SS amps.
So while tube amps do lend themselves to these characteristics, it's not necessarily what we want out of them or why we like them.