I am aware of the SP. Though, in the FCOM we use it says nothing about cycling the flaps. As far as I remember the SP was about cycling the flaps in freezing conditions, rather than post de-ice.
If we expect ice in the flap arrangements after landing we leave the flaps extended until inspected. If taxiing through slush or snow we may taxi out with flaps retracted. Also, if snow is falling we leave them retracted until holding point.
Not saying you should hurry or not check properly, but if we were to apply the same thorough procedure as in my previous airline we’d definitely be running behind schedule...