If you're interested to make more comparisons, use this to convert your PCM music to DSD
Do you think that if you convert PCM to DSD that the resulting DSD file sounds better than the original PCM file?
Actually it would be possible if you use a player that handles DSD better than PCM. But then there is no reason not to convert your DSD files to PCM, then equalize in the digital domain, and then convert the result back to DSD.
Or maybe you meant it the other way: convert a DSD file to PCM and then compare those?
This could lead to false results if you again use a player that handles DSD better than PCM.
In fact the test that would be ideal in your case is this:
Convert one of your favorite best sounding DSD files (say file A) to PCM (say file B), and convert file B back to DSD (say file C).
Now compare file A and file C in a blind test.
This way the test can not be spoiled by equipment that handles DSD better than PCM.
(Only thing that still could go wrong is that the original DSD file A contains inaudible ultrasonic content leading to audible intermodulation distortion in your equipment. If you go to PCM 44.1/16 you will loose the ultrasonic content and then both file B and C will not give that distortion. If you really want that distortion: simpy go to PCM 192/24 instead of 44.1/16.)
A non blind test is useless because hearing perception is done mostly by the brain and is influenced by many things, what you think, what you know, what you expect, what you see, how you feel, etc. etc. this happens to everyone, including me and you. It can even make you hear night and day differences when there is no audible difference!
PCM 44.1/16 is audible transparent. This is not some opinion but scientific fact. Measurements, mathematics (the sampling theorem, that is a mathematically proven theorem, not just some made up theory), countless properly controlled listening tests, they all point to the same conclusion.
(It is now too late, but until a few years back you could have won US $1,000,000 from the James Randi institute if you could prove that you could hear the difference between high resolution audio - or DSD also counted I think - and 44.1/16 PCM in a proper controlled test. Of course nobody won the price, because it is impossible!)
This may be a shock to someone who until now got all his information from marketing stories, audio magazines, subjective sighted reviews, people parrotting after each other, all unaware of and ignoring the existence of expectation bias etc. It is indeed shocking how widespread many audiophile myths are!
Finally: an analog equalizer will certainly cause more noise and distortion, probably even audible, than a conversion to PCM would.