I stick to both the CD and LP systems.
For me the difference in recording quality, overlaid by the amount of manipulation perpetrated by the recording/mastering engineers makes a bigger difference than the difference between LP and CD.
I have fantastic sounding LPs and awful. Ditto CDs.
I have also used both digital and analogue methods to record music and data (music is of course just sound data so they are actually exactly the same)
All the digital recorders I have used, even the most modest, produce a more accurate recording than even the most expensive state of the art analogue recorders. I got useful data from an Ampex recorder the size of a big suitcase, but on an F1 car only the digital systems gave data worth analysing. Analogue recordings were so inaccurate they were pointless.
As an amateur recordist I have used recorders starting with a mono valve reel-to-reel recorder finishing with a Revox B77, which I still have. I have recorded onto cassette using an Aiwa F770 and Nakamichi CR7E. I have recorded to DAT using a Stelladat and both Sony and Pioneer portables.
I bought a Metric Halo ADC/DAC to use as my DAC at one time and have played around with that as well.
What I learned has been that however long you spend aligning for the tape, with all the analogue recorders I have had with off-tape monitoring there is always an audible difference between the microphone feed and the off tape sound.
With the digital recorders if there is a difference it is too subtle for me to consistently hear it. And that goes even for the earliest machines I used.
My conclusions from this are that digital has the potential to produce a more accurate recording than analogue. I am 99.999% certain of this based on 50 years of experience.
I do not believe that CD was compromised much at the beginning, and one of my best sounding CDs was an early product of the Nimbus CD plant, one of the first. In fact I would say most recent CDs sound worse than early ones but, and now we come to opinions I can't verify from personal experience, I believe this is due to the way the sound is close mike recorded and manipulated by recording engineers to suit car and earbud-whilst-walking environments.
I would be pretty confident that using a non-eccentrically engineered DAC that what one hears from a CD or rip is pretty well what the recording engineer chose to put on the CD, and will sound different at home mainly because your speakers and room are different to his.
Now we come to LP.
Already an analogue master tape will not be an accurate reproduction of the microphone feed. I am equally 99.999% sure of this based on decades of experience. But here is the rub. The very inaccuracy which makes the analogue methods less good for data don't matter for sound, since the distortion is euphonic rather than harsh.
Back in the day it was argued that less than 0.1% distortion was inaudible. I have no idea whether it is the case or whether it is 0.05% or 0.5% but the fact is that at some level this distortion is audible, and if liked it is euphonically so.
A quick scan through HiFi News cartridge reviews will not only reveal an astonishing variety of frequency response shapes but also that the distortion tends to be in the 4% to 8% range. The lowest I have seen is 2%. Now both the FR deviations and this added distortion will be blatantly audible, that is, presumably, why people have such a wide range of cartridge preferences.
There are other inevitable changes which have to be made to the tape recorder's output to cut an LP as well due to manufacturing requirements.
My conclusion is that LPs are nowhere near as accurate as CDs at reproducing the sound heard by the recording engineer but, since I love my record player, I have no problem with this and just enjoy the sound that comes out of it accepting there is a lot of euphony, and that I can tune it to taste by changing bits of it.
I listen to, and enjoy, both CDs and LPs, depending what I want to listen to next.
Sometimes I like to sit back and read the sleeve-notes, just like the good old days.
The very worst thing about CDs IMHO is the criminally shittily designed "jewel" case which makes even getting the leaflet out undamaged an irritation.
The second worst is the optimised for on the move listening on releases for the last 5-10 years which make recent CDs sound much worse than the early ones I play.