No. What properly belongs to the persons whereby they are distinguished from each other, cannot be attributed to the essence because that would imply distinction in the divine essence, in the same way as there exists distinction in the "supposita."
The difference between substantive and adjectival names consist in this, that the former carry their subject with them, whereas the latter do not, but add the thing signified to the substantive. Whence logicians are wont to say that the substantive is considered in the light of "suppositum," whereas the adjective indicates something added to the "suppositum."
Therefore substantive personal terms can be predicated of the essence, because they are really the same; nor does it follow that a personal property makes a distinct essence; but it belongs to the "suppositum" implied in the substantive.
But notional and personal adjectives cannot be predicated of the essence unless we add some substantive. We cannot say that the "essence is begetting"; yet we can say that the "essence is a thing begetting," or that it is "God begetting," if "thing" and God stand for person, but not if they stand for essence. Consequently there exists no contradiction in saying that "essence is a thing begetting," and "a thing not begetting"; because in the first case "thing" stands for person, and in the second it stands for the essence.