Why should cyclists be inconvenienced by taxis? They have just as much right to get to their destination.

Because taxis and cyclists are road users like others, car drivers also have to stop if a taxi has to drop off someone as long as it's quick. Same with buses, also. Or trams.

It's the same with pedestrians : if an old person walks on a small sidewalk, I will stop or slow down. Or if I see two guys carrying a washing machine.

As a pedestrian, I don't see cyclists stopping often when they ride on the sidewalk, though.