The 'point and power' technique which I described is simpler and more intuitive than the old-fashioned way. It also leads to earlier solo (about 1-2 hour in most cases) - and is the way the RAF has been teaching it for about 20 years - yes, in light aeroplanes.
But most of the poorer FIC schools don't have a book to refer to and hence won't teach it as they don't actually understand the technique.
CC for IAS and throttle for RoD until you are aiming at the touchdown spot! Then the scan is simply touchdown point - speed - touchdown point - speed. Small prompt throttle changes control speed fluctuations; don't worry about the cause, just keep zero optical spin rate on the touchdown point and control IAS with power!