This is the way it is at YQR as well. Very often, an AC baggage agent is waiting at the belt so I expect that person would take the left over bag and store it behind their counter (they are opposite the baggage belts). That wouldn't of course stop anyone from nicking a bag if that's what they wanted to do.

Given how quick bags arrive at YQR I'd suggest giving it a few minutes after arrival if the flight is on time or early. The only challenge there is that if the OP has to wait the taxi stand may empty out, which would cause a delay. With that tight a schedule I'd be tempted to prebook a limo service for the quick ride to the courthouse to ensure that I had a ride as soon as I needed it.