Minorly so. If both Impales are destroyed it is a slight drag, but he can easily retrieve any other Ongoing due to having multiple copies within the deck. But not too many things destroy all Ongoings, so it's fairly easily to keep the Impales safe from mid-game destruction.
Plus, with the power mining his ongoings and his dedicated search cards for his Modules, you'll blow through the deck that much faster, so a reshuffle is only a matter of time.