If you prefer LPs, great! No one here is insisting you must prefer digital. I have a few hundred LPs of my own. When I listen to them, I enjoy them very much. Neither do I kid myself that the LP is "inherently" superior to digital. You are the one saying that LPs have "information" that digital has somehow discarded. Care to show some proof of that?
LPs have about 25dB stereo separation, CDs about 90dB. LPs have about 70dB dynamic range, CDs over 90dB. LPs have "groove noise," CDs do not. LPs are susceptible to dirt and dust, CDs are not. LPs are subject to rumble and wow, CDs are not. LPs degrade their HF performance as the groove approaches the label. CDs sound the same from start to finish. In pretty much every measurable parameter, CDs spank LPs, but you want me to think that since you claim the CD has a "stair step" signal it is inferior to an LP and that somehow the LP has "more information." An LP is simply a way of preserving a waveform. A CD can preserve the identical waveform and do so with less distortion than the LP.
As others have pointed out, the fragility of the LP format may have dictated more care in the mastering phase, but there is nothing in the LP format that makes it superior to CD.
Enjoy your LPs! But you are wasting your time if you are trying to tell this forum that LPs have some sort of magical properties that CDs lack.