To some extent I do agree that exact location would not be the most interesting part.
Since we know they are technically advanced we are probably not going to win this in a gunfight. Although I would seriously be curious what would be the consequence of heavily bombing a underground base. That would probably lead to repercussions so I don't know if that would be wise.
However, when it comes to direct communication, I can think of hundreds of questions that should be asked, simply bc they can provide very valuable information. We are talking about winning a psy-war. So any opportunity that comes along to extract information from actors who do not mean well, is part of the old truth : 'keep your enemies closer than your friends, so you know how you can beat them.'