Don't own DK, but one of the things that always in stuck in my memory from childhood was loud bass(for the time) and muffled highs.
The first sample sounds too bright to me.

Is it possible that the machine in the first sample has had the speakers replaced with ones with a greater range?
The original didn't have a tweeter or even a whizzer cone, so the highs couldn't have been too bright.
Another thing to consider is the microphone used.
I'd guess the amateur recordings from 1982 used a microphone with a response curve meant for vocal recordings and a cassette recorder.
It wouldn't pick up much under 100hz, so don't hear any of the bass.
Of course, I'm making judgements based on childhood memories (don't know the last time I saw DK in the wild).
I'd be interested to hear what someone with an original machine has to say.
The question for the Devs would be - What did they use for reference, the signal from the board or the sound from the speaker?