If your city is only designed for drivers, it’s no surprise that people will want to drive places. When you remove parking minimums, you also need to prioritize transit and micromobility accessibility, so people are actually incentivized to switch modes. Cities can and are making this shift successfully: here’s one example.
A car lane is dedicated to the through traffic of cars. Similarly a bike lane is dedicated to the through traffic of bikes. If it is truly such a nothing burger to wait one minute, surely you would have no problem stopping on the car lane either and telling drivers to wait. And yet I have never seen a delivery driver attempt this - probably because it is considered socially acceptable for drivers to honk at shout at anyone blocking their way. Not so for cyclists, even though they are the more vulnerable road users.
Perhaps you could also stop at a bus stop and tell the bus driver to wait a minute. Or you could stop in a stranger’s driveway while they are attempting to leave. Or hey, stop on a train track. Let me know how that goes for you. It’s only a minute, right?