faint precession of sound on vinyl

Print though on tape is the reason they are stored tails out.

Tails out
A term describing a reel of tape wound with the end of the audio toward the outside of the reel. Tape stored in this manner is less likely to have audible print-through, since the tape must be rewound before playback. Any print-through that does happen to occur will sound after the original sound (instead of before), which is less problematic.

I am no expert on Reel to Reel but tails out was used for mix down engineers for years to prevent pre-echo. It doesn't fix tapes that already have pre-echo and doesn't work for 4 track tapes that play in both directions. Pre-echo that may have existed on analog recordings can easily be fixed when mastering to CD in the digital domain by the way. This would explain why most CDs don't have it.