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
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.
There are plenty of music that are available only in digital formats and there are plenty of music that are available only on LPs. Also some of the original analogue recordings were very poorly transferred to CDs.
Whether you like new DDD recorded music on CD or LP (if available) is not that significant as there aren't too many of those available but with both setup rather than one or another, you will open your door to lots and lots more music if you don't already feel overwhelmed by what you have!
If you have $5k to blow give analog a try. If nothing else, it will increase your audiophile credibility.
If you do go analog please revisit this thread in a couple years and give us an honest assessment. BTW, I am another who grew up with vinyl. Although I still own a couple hundred lps, I listen exclusively to digital via Mac Mini or cdp.