You keep saying that but can you give examples in typical instrument amps? A modern solid state amp that has a pleasing distortion that increases with volume that isn't trying to emulate a tube amp, or a tube amp that is very clean from 0 to maximum volume.
In my experience the output section of Hiwatts tends to be setup for max power. Their transition from clean to compression to OD is fairly abrupt, and not particularly musical or linear. If you want drive, you are probably better off cranking up the preamp or using a pedal. However, the preamp is fairly low gain and you may need to hit it with a boosted signal for desired results.
For context I own a 79 DR103, 76 DR201, and a Reeves 400 which is a very high quality DR405 clone.
The GK Boost circuit is described as a tube emulation. Not sure why the description would disqualify it. Tubes can be set up to run clean and solid state can be setup to produce nice compression and OD. Would you disqualify the tube circuit because it's set up to be clean?
My understanding is the old Sunn Beta Bass amps sounded pretty decent pushed into OD. AFAIK they were not intentionally designed to model tubes.
The entire GK Boost circuit is pretty much a single FET and an added level control in the middle of the signal path. The FET responds to signal level. At low signal levels the sound is clean and more dynamic. At medium signal levels the sound starts to compress. At high signal levels the sound gets snarly.
The signal level hitting the Boost FET is dependent on the input Volume control, the tone controls, and the Boost control. The Volume control is at the front end of the Preamp. This is really an input gain control IMHO. It determines the level going to the tone controls. If you hit the tone control circuits too hard, they produce a really nasty and harsh distortion. So the idea is to turn the Volume up enough to get a good signal to noise ratio, but not so much that tone circuits are pushed to clipping.
In the late model RB series, the FET drives the Woofer Master. The tweeter signal is split off after the Boost control but before the Boost FET. The idea is the tweeter signal stays clean and the Boost FET only modifies the sound going to the woofer amp.
Even with the Boost circuit set low and the Master cranked, I find the RB series to get compressed when pushed. I don't actually find this desirable.
Many people who are all-tube fans indicate a preference for running their amps right at the level were the output section is compressed. When I used tube amps, I was always frustrated because the amp sounded great at low volume, but the sound changed as I turned up.
At this point I can understand why people like the sound and feel of a pushed tube output section, but to keep the amp in the sweet spot you can't adjust the amp to meet situational volume requirements. So most of the time the rig will either be too loud, or not loud enough.
For the record I have lost count, but my amp collection numbers close to 40 amps. More than 2/3rds of my amps would be considered all-tube. About 10 are either pure solid state or hyrids with tubes in the preamp. Two are Class-D (Ampeg SVT-8Pro and Epifani UL902C), but neither are modern micro heads.
One of the tube models I own is a Sadowsky SA200. It sounds great with the tone controls all set straight up to 12:00. Guess which model can be dialed in to sound almost the same. It's the UL902C which is pure solid state and class-D with a switching power supply. Now the be clear, if you adjust the SA200's tone controls away from 12:00, you can't adjust UL902C to follow. Likewise the UL902C can be adjusted to produce a range of tones that the SA200 cannot make. But there's a little nexus where they sound and feel almost the same.
If you prefer tube amps, great. That doesn't mean that your preference counts more than anyone else. I think all of my tube amps sound great, but if I could only keep one amp, it would probably be one of my hybrids (possibly the Genz Benz GBE1200). I prefer to be able to dial in a tone I like and then adjust my volume without the sound and feel changing. I also love the sense that I have way more headroom than I could possibly ever need.
For context, I own some of the most powerful tube bass amps ever produced by large companies. The models that are considered 400W or more include Reeves 400, Trace Elliot V6, Trace Elliot V8, Ashdown 427, Mesa Strategy Eight:88.
IMHO go try a bunch of amps. Choose the amp(s) that best meet your needs. Don't worry so much about whether they are solid state or tube. And don't worry about what anyone likes or why. The only thing that matters is you like your amp and it meets your needs.