I place the result of 'What's an egalitarian?' as better than the die roll as to whether they will take it as one or the other, or even a third interpretation. If I say egalitarian, and they can't define it, they'll probably go into a questioning mode, which helps make them more open to discussion. The number of people who could define it AND be against it would be minimal. On the other hand, feminist has become almost an epithet to a significant chunk of the English-speaking world. It's a word that shuts down empathy and critical thinking for those people, even if they couldn't define it, which your anecdote helps show it can be hard for people to do at any rate.