To try and answer the thread's original question, I always find that I gravitate towards great big fat sounds when I play by myself. Slightly scooped, wide bandwidth tones with a lotta gain. Not quite "Guitar Center on a busy weekend" level scooped and gained out lol but way more than would be appropriate in any band. I'll go for stuff like a 5150 100w Stealth or 100w EL34, boosted Recto, boosted Ecstasy, or a mid-scooped Mark IV, etc. which are all very big, wide sounding amps with a ton of gain on tap.
For studio mixes, I'll use these same amps but I'll dial them in to be a bit more controlled. Less huge lows and highs, more balanced, and typically I'll dial in less gain. I still go for saturated sounds, but I don't want so much gain that I lose detail or dynamics.
Playing live, however, I find it's often better to go with leaner sounding amps altogether. When I play out live I'm perfectly happy with a boosted JCM 800 or boosted JCM 2000, both with an EQ in the loop. I'll use the loop EQ to slightly, slightly cut some mids with the widest Q I can use and compensate with volume so that I'm not so much scooping mids as I am slightly boosting lows and highs while managing noise levels. I find this makes these amps sound just a bit broader, but they're still good at sitting in a specific EQ range and not overpowering everything so it works. I find that using an EQ in the loop this way works better than just lowering the Mid knob, which om these amps has a fairly narrow Q, so scooping that way only hollows out the tone instead of broadening it.
So to summarize, I guess you could say I like my amps thicc in the sheets but lean in the streets.
Aaand I'll see myself out.