You'd have to put the same size cable in, if you was adding just one socket-outlet and extending circuit!
No you wouldn't - the standard circuits now include a 2.5mm "Spur" off a 4.00mm Radial with a 32A MCB, with only a single accessory allowed - it's exactly the same as unfused spur off an RFC.
If you come off with 4.0mm it's classed as a Branch rather than a Spur and can have any number of accessories.