The answer is a little complicated.
Does this Hi-Res copy sound better than say, a 320kbps copy? Yes, by a mile.
Does it sound better than a FLAC copy? That's to be debated.
People would be correct to conclude that the human ear is not capable of distinguishing anything higher than 20KHz, and so it would be a waste.
What they don't know is that that is 1/2 the truth.
In reality, we actually can hear the difference.
The only problem is, the volume would have to be turned up so high, that it would cause hearing impairment at those frequencies. So not the most pleasant listening experience.
Plus, most listeners aren't even aware as to what to look for in differences between the two.
Finally, you'd have to be in a dead silent room (the average environment is about 30db of noise) in order to even get the chance to do any of this.
Another issue is that NO DAC/Amp, or device on the market in 2017 is even remotely capable of, or ever will, be able to reproduce anything higher than 20Bits.
Trust me, I've looked (and even done a research paper on this lol). Modern Tech is just not at that point yet to reproduce frequencies that high.
What this means is that no HD/Hi-Res copy will be capable of being 24bit due to tech being shit still. So we are stuck with 20bit max.
Why is it called 24bit then? Well techies will tell you that we count bits by 8.
So:
8bit (Think Video Game Music), 16bit (FLAC Quality), and 24bit (HD, Hi-Res, SACD)
24bit Hi-Res is not intended to be used by the average consumer, but it is made available to us because well, why not?
It is intended for Audio Engineers, who use low-pass filtering for master recording and/or editing (kinda like a graphic designer/photo editor using RAW formatted images).
So this quality of music is really only able to be used in software, otherwise the raw frequencies of sound can kill your audio devices.
Plus, the recording companies are greedy SOBs that would never share master records with the average consumer. Those golden days are over.
Our entertainment systems have been made possible to listen to at least 60db of sound affordably (on purpose, some might say), because any more would require more power (current) and amplification, to the point that we'd all be broke as shit if we wanted to hear this to it's real sound.
This can go way deeper in explanation, but I will stop here.
TL;DR
Take advantage of @Aeolus' kind gesture, and add this copy to your Music Collection.
You'll NEVER be able to play this in 24bit, because not even master recording equipment can. So don't BS anyone about your 5K sound equipment lol.
Record companies have purposely made audio sound like shit nowadays for their own profit.
Unless you listen to this in a sound booth at ear exploding volumes, then it'll probably sound the same as FLAC.
So enjoy this Hi-Res album, using a simple DAC/Amp and a really nice set of Noise-Cancelling Headphones for now.
Your crappy HP laptop headphone port isn't gonna cut it folks.