Sounds like the same knee-jerk reaction. (Which usually shows you haven't really understood what I'm proposing.) If the consequences are greatly separated in time from detection, and there is strong bias towards false negatives, then the result will be to give the cracked copies a reputation as an incomplete, half-baked piece of crap.
In any case, DRM should never manifest as anything resembling a bug in the game. It should only manifest as a failure of the pirates to do their job and reduced access to online and downloadable content. Remember, guerrilla warfare is about the long term and not the short term. In the short term, there are defeats and retreats for the smaller force, but in the long term, the larger force is persuaded that the effort is no longer worth the reward.
Absolute containment is the essential failed strategy of regular armies taking on the guerrillas. It's also the source of everything you find objectionable about DRM. (Analogy: the armed force that's unpopular with the local population.)