Changing a wheel sounds simple until you are doing it on a hot shoulder with lorries passing. The car has to be held still, lifted at a point strong enough to carry it, and lowered with every nut seated evenly. Miss one of those and a routine tyre swap can end in an injury or a wheel working loose.
The technician brings a proper jack, wrench and inflator, so you are not relying on the small kit under the boot floor. Your spare goes on, its pressure is set, and you leave knowing how far and how fast that particular spare lets you drive.