Analog vs Digital Confusion


Thinking about adding Analog to my system, specifically a Turntable, budget is about 5K but I'm having some second thoughts and I'm hoping someone can help, specifically, how can the record sound better? Scenario; an album is released in both CD and Record, the recording is DDD mixed, mastered, etc in the digital domain. It seems to me that to make the master record the process would involve taking the digital recoding and adding an additional D/A process to cut the record? So, bottom line, how can the record sound better than the CD played on compitent CDP?
rpg
Analog is better. You get a better variety of music during a listening session. The short play time of LPs forces you to change the record every 20 minutes or so. CD play time is too long.
If you listen exclusively to contemporary music recorded and processed digitally, which most of it is these days, then probably there is little benefit in investing in a turntable, and the records released concurrently with their CD counterpart likely will not sound better, everything else being equal.

But, as Frogman's post discussed even if indirectly, it's an entirely different thing if we're talking about music that was originally recorded using purely analog technology to be released on vinyl exclusively, which is essentially most of, if not all, classic jazz and classic rock. Digital technology might have made a huge progress, but I disagree with opinions that digital can sound as good as analog when it comes to the music originally destined for vinyl only. To me, sonic superiority of vinyl there is unmatched and every effort should be made to listen to it as it was meant to be - on a turntable.

P.S.
The assumption is of course that the records are the original releases, not dubious reissues, which is an entirely different subject...
I believe that if you are talking about CD only, digital can never compare to analog. Just the process of mixing down to 44khz ruins it, even from the same master.
I have many albums that sound more natural than the same cd. Very rarely does the cd match or exceed the album's ability to replicate the sound of music in the room. As for DDD recordings on vinyl--usually, there is not much of a difference between the album and the cd, but sometimes the difference is big and usually but not always in favor of vinyl. Case in point--Clapton Unplugged, recorded DDD. The vinyl is far superior with a very quiet pressing at Pallas.
OTOH, gotta love the convenience and guaranteed lack of vinyl tics, pops, tracking issues, etc. of cd (or streaming). When I have the time--it's vinyl. If not I'm ok with cd.