The line “No, you care too much” suggests that her primary flaw is her excessive empathy, which isn’t seen as a real weakness or a point of growth.
That line is a joke, no? And not a particularly new one at that. It's one of those classic interview gags where you should state that your biggest weakness is actually a strength (and is obviously untrue to boot). Pretty sure that sort of thing can be found all through '80s/'90s sitcoms, if not earlier.