My scrub plane has blade width of 32mm and (pure coincidence) has camber radius about the same 32 ish. It's highly effective. There is no "standard" - a scrub plane (if not purpose made) is just an old plane, ideally narrow, with a deep camber for gouging the surface from wood needing a "scrub" e.g. painted, or old and weathered. The whole of the blade (sticking out beyond the sole) will wear - you are gouging a hollow channel with the whole edge. You could do it with a similar shaped gouge but a scrub plane is easier if you are working towards a flat surface.
The whole point of a scrub plane is that it cuts into the clean wood below instead of through the rubbish (grit etc) on the surface. Old paint ditto - it blunts an ordinary shallow cambered blade really quickly so you need a scrub instead.
PS you can fake the scrub action by tilting a normal blade as far as it will go but only extending an inch or so of width. You then plane a shallow triangular section instead of a hollow scoop, but it does the same job more or less.