I would not worry, use whichever works for you.
Since it is regarding a company website, they have no idea how many work there, and probably not even who called last for information. As for you and your site, they may assume it is a husband and wife, and not really paid any attention when you refer to each name and such.
Tech support only cares about getting you off the phone so they can go back to Solitaire and/or make their call numbers for the day.
In the end though how much do you really expect to deal with them, in which case, who cares.