Don’t use analogies, define your terms and explain the engineering. Switch mode power supplies create a lot of high frequency noise - its well known, its a problem too.
Funny coming from someone claiming to be an engineer. You claim you want rigor and then immediately come out with broad, general brushstrokes.
A well designed SMPS can have extremely low output impedance and noise, far lower noise than a LPS, if well designed.
It's a lot easier to design a low noise SMPS than a low noise Class D amplifier so a lot of the problems associated with Class D are easier to deal with in a power supply. Unlike a Class D amp which has to output AC, for instance, an SMPS only has to put out 1 constant voltage.