I'd like argue with you about an artefact I've noticed on some audio I've recorded, which is not really clear to me

Here's the project, if you want to listen to it:
Play the Edison wave called "play fine":
Than play the other called "play with clicks":
As you can hear (at least, to me), the first one play pretty normal, without any artefacts.
Instead, the others introduce lots of clicks.
If you watch the waveform, at first looks, it seems to have the same amount of "high" ramps during the time, squared.
I would expect to hear the same amount (if any) of clicks on both samples.
Instead, the second one is dammit clicking.
My question is: why this? Apparently, both should click or not the same amount.
What's your opinion about?
I'm not asking how to remove those clicks, but why this happens.
How would you make the first sample sounds "clicky" as the second one?
Thanks