In the quantum mechanics problem of a charged particle interacting with a magnetic monopole field, the orbital angular momentum ends up being quantized in units of half integer spin. This appears for instance in Dirac's 1931 paper on the topic.

Using the idea that magnetic charge $g$ and electric charge $e$ obey a quantization condition $$eg = 2\pi n \hbar,$$

we can see that this has a semi-classical analogue in that we can define the angular momentum of the total field of the magnetic monopole at the origin and the point charge at position $\vec{r}$ as $$\vec J_{field}=\int \vec r'\times(\vec E\times \vec B)dV' = -\frac{eg}{4\pi}\hat{r}=-\frac{n}{2}\hbar \hat{r}.$$

So for odd values of $n$ this is quantized in half integers.

So I'm wondering what is going on here in terms of spin and statistics? Can a charged particle and magnetic monopole (both bosons, say) together be treated as a fermionic dyon?

I've read a 1968 paper by Finkelstein and Rubinstein showing how topological defects of bosonic fields could be fermionic, is there a relation to this case?