No doubt it's greener, but not by an order of magnitude. Looking at the car: A large part of emissions are produced during manufacturing, especially for electrical cars. Driving less helps, but not an order of magnitude. Same with heating. A heat pump just needs (generally speaking around) 1/3 of the energy, so you really need a large size differential to get to an order of magnitude.
People living in a large city also have better access to an airport, which generally leads to more flights and more emissions (in total still less, but not great).
People living in a large city also have better access to an airport, which generally leads to more flights and more emissions (in total still less, but not great).