Put simply, it isn't. The analogy does not hold up.
That of course is the allure- the distortion is enjoyable. But its not accurate. SETs IMO have a lot in common with musical instruments while most other amps are more like musical reproducers.
They would of course be guilty of a logical fallacy
I've mentioned this before but if you really are stuck on SETs, if you really want the most out of one then do something to prevent bass getting into the amp- by use of a crossover or the like (perhaps lower value coupling caps). Most SETs have a cut core in the output transformer to reduce saturation distortion caused by the current of the power tube inducing a DC magnetic field in the core. The saw cut vastly reduces the DC magnetization. The problem is that this reduces the inductance of the output transformer at low frequencies. This means that as the inductance decreases with frequency, so does the load on the tube. It also introduces something called an 'elliptical load line'. The load line is a design characteristic that defines the distortion and working conditions of the tube. It should be a straight line. When it goes elliptical its hard on the tube.
This is why nearly any SET cannot make bass frequencies at
full power. At lower power levels maybe they can; but the bass notes are causing the amp to make a lot of distortion. If you can prevent low frequencies from driving the load line elliptical, the amp will be much better behaved and this will translate instantly to greater transparency, greater detail, more musical, that sort of thing. The people I know who are the most ardent about SETs all do this- they acknowledge and are pragmatic about the fact that this is a real issue for SETs.