Difficult to be sure but consider what happens with self sets.
You think you have carefully forked out every one of last year's potatoes but there right in the middle of a row of something sowed this year up pops the unmistakable signs of one you missed. You want to disturb your new seedlings as little as possible so you cannot use a garden fork to remove the little devil. So you carefully cut the shoots off below soil level with a hand hoe. Job done? Not a bit. Two weeks later up pops more shoots, and after you've cut those off as likely as not another lot and maybe another.
I reckon spuds try very hard to sprout. Losing a set of white chits might slow them down but unless they are showing signs of any other disease or deterioration they will probably be nothing worse than a couple of weeks late
Cheers