New LP's made from analog or digital masters

"Those must be the ones that are not warped and do not have a lot of surface noise that many new record buyers these days seem to complain about."

Some new vinyl does have that problem. For example, spent $50 on a great Ray Brown 45 recently, did not notice till I opened it after several weeks that one side of record one is 1/4" higher than the other. Amazing part is it still sounds great.

One example off the top of my head of something digitally mastered that sounds like CD is Tigerlily (Merchant).

(I am assuming it was digitally mastered - if not I am going to look stupid.)

Both versions sound quite good but I am hard-pressed to prefer the vinyl.

I compared both formats since 1993 and for me Vinyl is simply the better one. Unfortunately much more expensive than Digital, but the gear holds the price (more or less). I reduced buying vinyl when I noticed that it was made from Digital Master more and more. Sometimes they sound good, but only sometimes. Here I bought the CD. But I stopped that, too.
The music industry never made something which was better, they always made something which was cheaper. See CD Mastering the last years, it went worse, Standard is probably MP3 etc. Their main problem is "illegal" download and that music became worthless as a result.
Vinyl can't be copied, when it is sold, it is done and better a few (thousand) than nothing but illegal copies or downloads. Does it mean, that we will get better vinyl or better Mastering when "they" produce more records?
I seriously doubt, all Know-How from earlier years is gone, the hardware is sold or destroyed. "They" will look for someone who can do it for them and for what price. The Industry lost a lot of money in the last years, they will be very careful with expensive (high quality) investments.

Many new LP releases are made entirely in the analog domain, and clearly state so. For example, all the new Music Matters Blue Note reissues, many of which I have found sublime, are completely analog. I even spoke with Kevin Gray, one of the mastering engineers on this project, about sneaking in digital technologies and he shuddered at the thought of introducing any digitization into their process. The results shine through, in my opinion.

"Many new LP releases are made entirely in the analog domain, and clearly state so."

What % ballpark? 50%? 10%? More or less?

I have compared several cds to their vinyl counterparts and have always found the vinyl to be more enjoyable.I say this with a huge disclaimer that I am very much a vinyl fan.
Recently I had a friend over that listens to music on his deck through Bose outdoor speakers.He really liked my system but when I told him how the analog rig sounded much better than my digital,he was in disbelief.
I than played Joni Mitchell "Hejira" cd and then the LP.He was immediately sold by the first cut.This is a fairly revealing disc (the CD is a HDCD).highly recommended.