One of my homework assignments in atomic physics was the following:
Given electrons had a Spin of $S = 3/2$, what would be the number of the first 4 noble gasses (complete shells)?
The obvious expected answer is 4, 20, 56 and 120, because now one can put $4(2l+1)$ electrons on each subshell.
My problem with the question is the hypothetical nature. We are modelling physics after nature, so can we really be sure that Hund's rules would still be valid for that case? If so, why?