I see, that's an interesting part that I had no idea existed. You also explain it a lot clearer than the app notes I read today about it.
While I was still designing a linear stage, I was trying to battle the saturation problem with components on the inputs and feedback that wouldn't allow for the amps to saturate, but that turned to be rather complex.
For now I'm reevaluating my design requirements given that I have just 2W loss budget. So far I think I'll leaning towards a switching regulator and have some ripple. The alternative is to leave the linear stage, but have less output power.
Nowadays I think that for a general purpose power supply, the output power is more important than noise and as long as the final user understands the tradeoffs and the equipment capabilities, that's ok.
When I'm designing sensitive analog stuff that requires a noise free supply, I tend to generate it on the board, so input noise is not a huge problem.