With real speakers or headphones the difference is extremely striking.
If you are interested, there are corresponding frequency response measurements from a measurement microphone in a sibling thread.
The first (DSP processed) clip still sounds much better to me. The first time the unprocessed clip is played it's rather noisy for some reason, that could be room noise picked up in the microphone though. The high end is missing from the second clip almost entirely (anything above 5 khz).
However the DSP clip isn't without significant problems. It sounds distorted to my ear, and slightly pitch shifted as well. It's rather "tinny" sounding. I'd rate both clips extremely annoying to listen to in comparison to the original which seems pretty well mastered if you like this sort of thing: https://youtu.be/ZRtdQ81jPUQ?t=52
It's hard to tell how much of this is due to it being a quick and dirty recording. Also, being able to play audio at higher volumes is supposed to be one of the big advantages of using this DSP chain, since temperature spikes created by transients are managed in software. (Just speaking for myself personally, I've never felt that my non-Apple laptop speakers needed to be louder, even without DSP.)