And sure you can find it weird, lots of people do, but the reply by DoctorOetker was trying to point out reasoning which, when properly internalised, can make it feel less weird. Some people - possibly you included - never lose the sense of weirdness. I have.
But in truth, sometimes we never really understand things, we just get used to them. For me, maybe this is one of them.
As for understanding; the stack exchange question on whether it's coincidence that the value of G is approximately pi squared is one of these things I bear in mind whenever I think I understand something. : )
Edit: and if I'm not mistaken, you once spent far more time than I would have the patience for explaining how this worked to a rather offensive young person. I admired your patience there. It was more than I had and had better results.
One reason why g is close to pi^2 is related to the original idea to define the metre as being the pendulum length required to give a 1 second half-tick. If that's your definition of the metre then g is exactly pi^2. So in some sense it's not entirely coincidence. I should go and find the stack exchange discussion, but I don't have time just now.
And thank you for the compliment about my patience - I appreciate it.
I said it was weird, not that I didn't understand it.
I suspect this thought process is why numerate people get thrown by this puzzle.