Noise and ripple are different things. I estimate the ripple for the given TPS7A20 chip to be about 200µV (PP) at a load current of 120mA.

 

I'm not reversing gears entirely. I will put together a linear regulator and test side by side with a battery to see if I can hear the difference.

Hello bjornkarl, let us know the results I am also interested to build a PS for clean side of digione signature!