The podium is movable. They use this space for various small events.
Does it move in front of the audience, or during set up? If in front of the audience, an argument can be made for wireless, if not there is no reason for wireless. The upkeep on the wireless system is much more technically involved than unplugging a couple of XLRs if they are worried about technical skills.
Just because a client who doesn't understand all the implications of their desires wants something doesn't mean they shouldn't be talked out of it by someone looking out for their best interests.
Mac