Does it really come down to what STYLES can do though? Styles only exist as manifest through the people who practice them. And if we're talking about people, we're talking about a well-conditioned, pain tolerant, experienced fighter... with a stick. I don't think we can assume that familiarity with a stick beats familiarity with getting hit hard, fighting through pain and fatigue, facing a highly motivated opponent, etc.
Stick fighting can be refined obviously (says the FMA exponent), but baseline "damage doing" with a stick is pretty intuitive.
I'm not saying, either, that no karateka has those experiences. Some do, it's true.
If you accept that a viable defense against a wrist grab is to punch someone in the teeth, then yeah a boxer has some recourse.
Whether a boxer has specifically trained for a wrist grab or not is, in my view, less relevant than what someone can achieve through physicality, calm under pressure, and a well-trained sense of how to hit things very hard.
I'm not touting boxing over karate either. I just don't think it's as reductive as we're tempted to make it.