>Maybe because that with type C, bigger
>motors can start without making it trip

Yep. For this reason 10A type B are quite useless as the inrush current of some vaccum cleaners can trip it. Also, for those big blue and red (IEC 309) sockets, type C is an obvious choice, as you can expect them to be used with large motors.

But here large single-phase motors are rarely used in places like living rooms and kitchens. If you need something like a five horse power motor, you'll probably put it in the garage connected to a big red 3-phase socket.