1.2% chance is not significant enough in physics. You can find a lot of such coincidences if you go looking for them. Like people claiming that Pi was relevant in the construction of the pyramids.

I saw a physicist “prove” that Pi was used to construct a random bicycle frame. You just have to juggle the numbers around a bit.

Yes, if something exactly matches 2π⁵/15 there might be significance to it. But something being similar to some fraction or factor of Pi or so says absolutely nothing.

I think xkcd has a chart of crazy coincidences like this. I can’t be bothered to look it up.