>So [men] get the tougher cases to begin with.
This argument has come up several times here as though it is an obvious possibility, but I have significant reason to doubt it.
In politics, it is known that women end up being given statistically riskier elections to defend - i.e. those that are the most critical ones for a political party, while also offering individuals less secure career prospects.
Why, then, is it assumed that the exact opposite must be true in medicine?