While I agree with you to an extent, I think that, had we had access to the present-day models back in, say, the mild winters of the 1970s, cold-and-snow enthusiasts like ourselves would have regularly moaned about failed cold spells. The models are aware that the world is warm as those data are fed into them, and since global warming doesn't act on time scales of a few days, it can't be the reason that predicted cold outcomes fail to materialise?
IMO, these failed events are due to more fundamental flaws in the models; the differential equations, or the methods used to numerically solve them, seem to have a cold bias in the medium range (at least in our locale), and this needs addressing. The same can be said for some models which have a propensity to 'blow up' lows.