The definition of a PC does not include the fact that it needs to operate out of the box, that is just your definition.
How a device is set up / activated or updated does not define what it is.
What defines what it is, is what it does.
When I buy a coffee maker it does not come with coffee I have to buy coffee to make the device useful and serve its purpose. Even without the coffee, it is still a coffee maker.
I a PC that is fault, i.e. needs repair not a PC? It needs...