That may be true, but if you look at the distribution it puts out for this, it definitely smells funny. It looks like a very steep normal distribution, centered at 0 (ish). Seems like it should have two peaks? But maybe those are just getting compressed into one because of resolution of buckets?

It does indeed have two peaks: https://en.m.wikipedia.org/wiki/Inverse_distribution#Recipro...

As the mean of this distribution does not exist (it's "infinite") the Monte Carlo estimates aren't reliable