I don't know about the statistics reported to the European level but most Dutch railways don't take into account "cancelled" trains when determining punctuality. A train is "cancelled" when it's 30 minutes late and therefore doesn't alter the punctuality scores.

It does stop at all stops unless it's really late and passengers might as well get out at a stopover station and transfer trains, however if it's sufficiently delayed it may be put on side tracks to let other trains pass to prevent a ripple effect, delaying the train even more to keep the rest of the system working well.