This is a good point, and something that should be talked about more. Too many people who think they're clever find a sort of obvious challenge to a claim they don't like, and don't investigate further because of motivated skepticism. Also, then they look stupid if they have to admit their objection was ignorant and lazy later.

Note: Obviously just because an objection is addressed doesn't mean I think it's addressed sufficiently well. Religious people always have responses to objections to religion, many of which utterly fail to even properly address the objection. But I still think there's a huge problem, especially in in-person debates, with people who never investigate their own objections.