Well, this is hardly a scientific hypothesis, because it is almost impossible to be safely proved on our own (although it can be falsified, as long as we consider our Universe to be finite in some practical terms), and even if proved it seems to be of not much use. It still may give some clues to solve some problems, specifically the FermiParadox.
Suppose that:
If the entity expects its persistence to be limited in some other ways than by its own heat death, it can allow for increasing the entropy production inside it, but the maximum rate will still be limited to the level that will allow the entity to persist for all the time it has.
In principle, this hypothesis may give some theological/philosophical twist to the origins of life as an anti-entropic process, and to some of the origins of morale/ethic in conscious beings.
And in practice it can mean, for example, that we don't see GreyGoo in our vicinity not because there is no one but us who may try to produce it, but because it's impossible or extremely unsafe for any civilization to play with such a wasteful stuff here.