Are you telling me that regulators do not have attorney friends and bankers that they socialize with? I have been to many social functions given by title companies, attorney firms, appraisers, etc and have never had a problem with it. And, never even felt guilty about it. It is getting pretty bad when we feel like we cannot socialize with those with whom we work. You may learn at the social event that you like this title office (because of their ethics) and would like to do more business with them. And on another note, you might find out something that would prevent you from recommending them to your applicants.
I would go and have a good time. And, if you win a door prize, good for you.