I dunno about the notion that the more experienced one is, the les rudder movement there is.
It's to do with over-controlling. Inexperienced pilots don't notice an incipient swing until it becomes obvious, then put in a load of rudder to correct it, but it's too much and a swing starts the other way, so a load of rudder... you get the picture. Looks like the aeroplane is being being propelled by the rudder, goldfish-style.
The experienced pilot moves the rudder to just the right position as he applies power, and little if any subsequent correction is needed (unless there's a fickle x-wind).
As with the other primary flying controls, over-controlling is eliminated by experience (hopefully!). It might take longer with the rudder for an experienced nosewheel pilot because some poor rudder technique has to be 'un-learned'.
SSD