Agree with the above. Bass and treble are blown out of proportion by the various stages the audio has gone through, and there's a ton of room reverb. It's also much louder, which always biases listeners. I can see the potential appeal when you hear that kind of tone. I'm listening without EQ at the moment and have massive treble response already so it kinda hurts my ears, but there's nothing wrong with having your own tastes, and who knows, maybe this makes up for some frequency response problems in the Logitechs.
I also strongly dislike the moments when the bass drum hits and the mic drops the level to compensate, but again, if you really love that 'sidechaining-like' sound then sure...?
My real concern is that you might miss quite a lot of what the artist and sound engineers were trying to communicate - the original really has that "holding something back" feeling, with gentle but clear guitar parts layering in gradually (bass thoughtfully supports it but doesn't dominate) and a hint of determination building in his voice. The dynamics build up a little, down a little then there's a pause before the big release of energy at "Cause even the stars they burn" which just feels so much more rewarding when you get the accumulation of quiet cues that it's coming. Note that most of these things I'm judging to be important are in the mids and in the dynamics.
For comparison, on the speaker demo I mainly hear oodles of warm bass that just makes everything feel super-chillaxed throughout - no sense of personal determination in the voice, less clear emotional direction, I notice nothing special or emotionally involving about his singing tone, I barely notice the guitar layering come in, and the dynamic variation is very flat, coming more from where they're holding the phone than anything in the song. It's a very different message to feel from your music and something to be conscious of.
Since you're using YouTube and Logitech headphones, I'd assume you're listening at the computer, so why not give some EQ a try, and even some reverb? You can listen to what songs you like and fine tune these effects precisely to your taste, leaving out any aspects you don't like as well as any loss in signal quality that comes from all these extra stages that produce the speaker demo audio.