Great question, and the short answer, I think, is generally yes.
If you argue wide fairways are necessary for a certain type of strategy, then large greens would logically follow.
While most of you might go on "feel" as to how large to make greens, I think a "Sunday Pin" type green, generally open, but with a few tucked pins for periodic greater challenge, should be wider than the typical dispersion of an approach shot - which according to Pelz and the USGA is about 15% of typical approach distance, even if we know that varies.
If the green were narrower than that, no one would do anything other than play for the middle. If it is wider, hitting a pond/bunker like Yale No. 2, or other hazard while going for a tight pin is magnified when the mind tells you that you could have easily hit the safe part of the green to accept par.
BTW, the key phrase here is generally! The other aspect of the equation is that it puts less premium on accuracy as a skill, so some greens should be smaller than you expect, or subdivided into multiple targets, etc.