There is a class of bosses who would accept that (obviously if you also stay twenty minutes longer & are salaried, they have nothing to lose). There is also a class of bosses who would not care how much sense it did or didn't make.

In an open office if it wasn't part of the company culture, few bosses will accept it. The political ramifications of having your employees sleeping when the VP walks by are too great (and, often, the manager won't even have the option to explain why it's good). I fully understand the benefits of napping, but I would demand employees to "get a room", for their sake and mine.