The engineers in the article mentioned dynamic range and compression of the dynamic. I listen mainly to classical music, and one thing I really like about CDs is the broader dynamic range. So, if a passage in a Beethoven symphony gets really quiet, the next passage when it gets really loud is more dramatic on the CD because the distance from quiet to loud is so great. On an LP, the engineers would have increased the sound of the quieter passage (which helps you hear it over the surface noise of even a pristine LP) and decreased the maximum volume so the stylus can track it.
I also listen to a lot of Sinatra, and for several years, I preferred to listen to his Capitol albums on LP or on CDs I had made from the LPs. This is not due to technology, but to other factors that made the LPs better. For one thing, when the albums were mastered to CD, the real original master tapes were not used. They sometimes used masters that were produced for later album re-issues. Also, in some cases, digital filtering was over-used to get rid of tape hiss. Tape hiss does not bother me on an album. Usually, the ambient sound in the room, such as A/C tends to diminish it. I guess some of today's engineers obsess over this because they know so many people listen on headphones or earbuds. Sadly, when they filter out the hiss, they remove important sounds from the music. Thus happens in some of my classical recordings as well, particularly the ones recorded in the late 50s or early 60s. Over-zealous engineers have ruined the sound of some of my favorite older recordings. Fortunately, Mobile Fidelity released SACDs of several of sinatra's Capitol albums that used the original master tapes, and they are mastered at a higher bitrate and dynamic range than CD.
I also agree that MP3s suck. IMO, they are only an approximation of music. I only listen to them when I am playing music on an iPod, such as when I'm on a plane, or if I'm listening to music on my computer through tinny little computer speakers. Through my real speakers they sound like crap. It's a shame that with the potential for such great sound and video that so many young people are content to list to music and watch movies on their phones.
A valid point, but it also depends on your listening environment - a living room isn't a concert hall after all. I mostly find the 70 dB or so of dynamic range the LP allows (vs. the 120 dB CDs can have) sufficient, and as I have neighbors, setting the volume for the quiet passages sometimes makes me scramble to reduce it when it gets loud anyway...so some compression can be good.
I listen to both LPs and CDs, and the amount of detail a good analog rig can scratch out of those grooves is truly amazing when you look at the transducer and amplification chain. My Ortofon cartridge has a nominal output of 0.12 mV which is about 60 dB over the lowest signals it can reproduce, so you're into the nanovolt range that needs to be amplified and micrometers of needle movement - and it works to a degree that rivals modern digital technology. How is that not amazing?