Is entropy the universal equivalent of carbon emissions?

[Yarco]

So I came across this article:
Measuring time accurately increases the entropy in the universe
https://www.newscientist.com/article/2277050-measuring-time-accurately-increases-the-entropy-in-the-universe/

First and foremost, I saw a lot of stuff relating to what Leo teaches about strange loops, etc that the scientists seemed to have totally missed. Not only are you observing the universe, but the universe is also observing and adapting to you, etc. They talk about this in a matter-of-fact way and ignore how miraculous this is.

Then a couple quotes really got me thinking:

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“By measuring time, we are increasing the entropy of the universe,” says Ares. The more entropy there is in the universe, the closer it may be to its eventual demise. “Maybe we should stop measuring time.”

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It has been suggested that the reason that time only flows forward, not in reverse, is that the total amount of entropy in the universe is constantly increasing, creating disorder that cannot be put in order again.

So what this suggests to me is that entropy is a non-renewable resource, just like oil or coal. We can choose to burn through it fast or slow, develop technologies to make our use of it more efficient. But ultimately there is a finite amount of it.

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The relationship that the researchers found is a limit on the accuracy of a clock, so it does not mean that a clock that creates the most possible entropy would be maximally accurate – hence a large, inefficient grandfather clock not being more precise than an atomic clock. “It’s a bit like fuel use in a car – just because I’m using more fuel doesn’t mean that I’m going faster or farther,” says Huber.

To me, I feel a direct analogy between this and the idea of a "carbon footprint." Entropy is to the universe what climate change is to the Earth. Humans appear to be creating order in the world if you look at things with a narrow view.... we make perfectly level and straight buildings and roads. But all it does is leads to more natural disasters and chaos in the environment. Makes me think of the saying "energy cannot be created nor destroyed." The same appears to be true of entropy. You can move it around or delay it, but it will come out at some point. Same as all of those nuclear bombs humanity has created. You can sequester and store entropy, but at some point it's going to escape in devastating ways.

Because of my lack of understanding, the main thing that I don't understand is how this entropy gets distributed. When entropy is created on Earth, does it stay mostly in a closed-loop system around the Earth? This would seem to be the case, as things seem to be getting increasingly chaotic and disordered over time.

Or maybe the entropy created on Earth just dissipates and gets spread across the entire universe? In which case there's less of a concern, because it will get spread infinitely far and human impact will be miniscule compared to everything else in existence. 

(Or I might be totally misinterpreting this article and talking out my ass)

[Jodistrict]

“They found that as they increased the clock’s accuracy, the heat produced in the system grew, increasing the entropy of its surroundings by jostling nearby particles. “If a clock is more accurate, you are paying for it somehow,” says Ares.”

What the article is suggesting is that for a clock to be more accurate, he has to be more ordered, which means the clock as a system would have less entropy.  But since the total entropy, clock plus surrounding, must increase by the second law of thermodynamics, the entropy of the surrounding will increase.  This happens by the clock mechanism generating more heat.  This is not a surprising result.  There are other systems that become more orderly and hence decrease in entropy, consequently generating heat, such as stretching a rubber band or paramagnetism.