LP made from a digital master recording...

1979. Rise. Herb Alpert. 

The first track is analog mastered. All the remaining tracks were digitally recorded on 3M’s new 32 bit mastering system. 

I have the original vinyl pressing. 10 years later, in 1989, I bought the CD.

The LP is far superior than the 16 bit CD.

Ive seen this over and over again, back during the time when vinyl was mastered, cut, and pressed properly, that the vinyl produces a superior experience over digital. Digital is easy, no work. Vinyl is an art form.

Another example: Linda Ronstadt’s 3 albums she recorded with the Nelson Riddle Orchestra in the 1980s. All 3 vinyl LPs sound far superior to the CD versions. Also, her 1989 album with Aaron Nevill; the LP is far superior to the CD version. All digitally recorded. Artisans mastered the vinyl, flunkies mastered the CDs.

How about we fast forward past 1985 ?

see for example the recent Macy Gray and Amber Reubarth....

I have the Firebird Suite LP with Robert Shaw and the ASO recorded in 1978 from Telarc Records that was recorded in digital tape and released in analog. Years later in the 80's I got the CD, very excited I thought that being an original digital recording,  will sound better than the LP. Still today it sounds better than the CD. It's not only me, others that listen to my system agree with me

I have the old Eagles LP "Hell Freezes Over" - cost me over £200 but great. As a matter if interest is the new LP release (remastered) from a digital base or the old base (and what was that?) and thus some difference should be able to be identified due to the great qualities of the recording in the first place. I am tempted to buy the new 180g LP as it is almost a reasonable price

Remind all of the Lincoln Mayorga albums of the 1970's that were direct-to-disc.  Evidently, Sheffield still does this. I suggest you buy some of their items and then discuss.

As the recording engineer posted above (@solypsa), a lot depends upon the people involved in the process from beginning to end.  For example, we were told back then that, including the actual materials used in the blanks, the time after stamping that the vinyl was left on the press to form/harden was important.

If you read the liner notes on the Mayorga albums, you will see that they were done with the most careful processes available at the time.  I would guess they still use the best possible processes and equipment available today.

They remain superb recordings that anyone who is interested in this debate should listen to, as well as the later ones from Sheffield, before making blanket comments.

Cheers!