Every woman, every man, join the caravan

Today I experienced the 'caravan'. Nearly two dozen people traipsed into my building and inspected my apartment. They were only there a couple of minutes, and then a photographer took some photos and they all buggered off.

But now apparently since the auction is this Wednesday, they want to bring people through today, tomorrow and Wednesday morning. And since I work and can't always be here, they want me to leave my keys at the front desk so they can get in whenever they like. The people on the front desk are quite pleasant, but on the whole, not very competent. There appears to be little communication between them, and I've experienced them losing track of my courier parcels several times. I'm not very inclined to give them my keys. I also just don't like the idea of people coming into my apartment without me being here.

I believe the Residential Tenancies act says the owner/agent is allowed to enter the place at any reasonable time to show a prospective purchaser, but they do need my prior consent. I'm not allowed to unreasonably withhold that consent either. Is it unreasonable of me to insist that I'm here whenever they let people in?