Well, I was exposed to a new idea today.
It looks like the concept here is similar to me observing that the average number of hairs on a human head is about 1e5. Also, the average number of meals a human consumes in their lifetime is about 1e5. Conclusion: we can fix hair loss if we have people eat more meals on average.
In seriousness though, the idea of "physical constants" not being actually constant is fascinating. I think the only sci fi book that I've read that explored this much was Carl Sagan's Contact, but it's an idea that must have been used in other sci fi. The implications of what might happen if you can change physical constants is the sort of thing sci fi is made from.
As for the calculations you put in the colab... Based on wikipedia Large Number Hypothesis is focused on unit-less measurements. That is, no kilograms, meters, or other "arbitrary" measurements. The number you found that was close to the Hubble Constant has units (meters, grams, and seconds). You could argue that when scientists of ye yester-year made up those units, they started with the Hubble Constant and worked backwards so they had measurements that produced the proper phenomenon. Of course they didn't, but since they could have, it's hard to see this as anything but a coincidence.