(And apparently also personal and omnibenevolent, for some reason).

Well, if it's eternal and sufficiently powerful, a kind of omnibenevolence might follow, insofar as it exerts a selection pressure on the things it feels benevolent towards, which over time will cause them to predominate.

After all, even humans might (given enough time in which to act) cause our environment to be populated solely with things towards which we feel benevolent, simply by wiping out or modifying everything else.

The canonical Christian Hell might also follow from this line of reasoning as the last safe place, where all the refugees from divine selection pressure ended up.

Granted, most Christians would be horrified by this model of divine omnibenevolence; the canonical version presumes an in-principle universal benevolence, not a contingent one.