A partially potent God is just another celebrity.
Understanding that no one can tell anyone about God, I would respectfully submit that a "partially potent God" is a bad reading. My God is an experimenter, sort of a keenly interested observer. To see what I mean, consider a coin toss (and for simplicity, throw out the miniscule probablity that during a fair coin flip the coin lands on its edge). We toss a coin and know with certainty that the coin will rest either heads up or tails up. But we cannot know, with certainty, which will be the case on any given coin toss. I don't see that this limits our omniscience. We do, in fact, know all the possible outcomes of the experiment. We can even predict with reasonable certainty the outcome of a large number of these experiments. The fact that we cannot predict the outcome of a single coin flip, in my view, doesn't diminish our "power".
Indeed, if one accepts God as a creator of the Universe, it would be a trifling thing if in such a Universe were created in which there was no possibility of the outcome of any event being unknown before it occured. That would be easy given omnipotence and omnipresence. It would, in short, not be a miracle to construct such a Universe. But now consider an omnipotent and omnipresent God who manages to create an entire Universe modeled on my coin toss example, where all possible outcomes are know, but in any given light cone, the specific outcome cannot be predicted. Keep in mind that the creator of the experiment is omnipotent and omnipresent. Imho, that is a miraculous construction.
Of course, YMMV and none of this has any meaning to you. ;-)