I had double blowout after hitting a spade(!) in outside lane of Aston Expressway (the raised bit) many years ago. The car was near enough sat on its exhaust, in a hard shoulder that was too narrow.
I called 999, the police motorway patrol did a brilliant job of sitting in inside lane with blues on, while assisting me to change one wheel, I basically then dragged my arse off the motorway at next junction with them following me off with blues on.
They even called the wombles patrol who also helped me get a new tyre from a nearby garage without having to drive on a flat.
I would NOT have changed tyre in live lane of motorway, no way.