A 'positive landing' should still leave your fillings in place but a 'greaser' on a wet runway will lead to aqua-planing
I agree with this statement as applicable to arrivals on aircraft carrier decks. As for runways and GA aircraft, I'm not so convinced. Aqua-planing on runways with standing water is a risk. My experience is that few well maintained runways have standing water in amounts to make this a significant risk. (Just "wet", as opposed to standing water, does not create aqua-planing).
Aqua-planing occurs in standing water, as a product of speed of the wheels, and tire pressure as seen by the water (let's say in PSI). The lower the PSI applied to the water, the greater the risk of aqua-planing. The tire pressure seen by the water will not be greater than that in the tire, but could be less, if the whole weight of the plane is not yet on the tire (wings still supporting some after touchdown).
So whether you "arrive" or grease it on, the moment after contact, you're still moving at speed X with tire pressure Y as seen by the runway, so the aqua-planing risk number is the same in either case. Now, if you instantly get the flaps up, and apply the ground spoilers (if you have them), you will transfer more weight to the wheels, and reduce that risk. Not general capability or practice.
If you grease it on, the moment of contact, you're still very close to flying speed, so all the flight controls still are effective. maintaining directional control can still be accomplished with the rudder. Ideally, you're holding the nosewheel off anyway, so you're not using it to keep you straight. If you've landed in a crosswind so strong that you can't keep it going straight on the mains only, because it's aqua-planing, you're not going to keep it straight with the nosewheel either, better go around, and land elsewhere.
Don't worry if you can't grease it on, "arrivals" happen even for the best pilots. Don't avoid greasing it on because you're afraid of aqua-planing on light GA types (I cannot speak for faster heavier planes).