Sodium Percarbonate breaks down to O2 and Sodium Carbonate(Soda Ash).
While not without some noticeable drawbacks, resoiling residue would be the least of any concerns.
The product itself, as a residue, is fairly innocuous, and unless you are using massive doses you should not notice any evidence of the residue. It should not be a problem. And even if it were left as a lone "massive" residue that was noticed as a white hazing, it should vacuum up and out quite readily.
While Sodium Percarbonate is often sold alone(with some soda ash added to make it ship-able as non-hazardous) as a product booster, it is also a part of a number of blended formulations like MasterBlend's Soap Free.