[T]he first adjustment [to Zizoulas' view] is this: the SAC [Sovereign Aseity Conviction] must be seen as a property of the triune God rather than as a property of the Father alone. As we have seen, to predicate the SAC of the Father alone is to raise several concerns, not least of which is whether this means that the Father is of a different essence than is the Son or Spirit. To assert that the Father alone is unthrown and a se is to say that the Father has different essential properties than does the Son or Spirit --- properties that are not either accidental properties (after all, this seems to be what it means to be the Father) or "onto-relational" properties. But to predicate the SAC of the Trinity alleviates this problem; it makes the SAC an essential property of divinity, one that is had by each and all of the divine persons. Furthermore, the ascription of the SAC to God is the way the biblical writers think of it (e.g., Exod. 3:14). [Thomas H. McCall, Which Trinity? Whose Monotheism?, 207]
I agree with McCall's call for an adjustment relative to Zizoulas' conceiving of things; just as I agree with Thomas Torrance's call for a dependence on Athanasius, Epiphanius, Didymus the Blind, et alia in contrast to the Cappadocians. A contrast that sees the importance of grounding God's being-in-communion in the Sovereign-Aseity of all the Persons mutual-indwellment of the other; instead of annexing this to the person of the Father alone (which would be contradictory because of prior conflict given the defined premises).
Anyway, besides the important theology being noted here; it makes me wonder how much McCall has depended on Thomas Torrance's proposal, contra the Cappadocians, for his (McCall's) own proposal contra Zizoulas? Let me close with a quote from Torrance, quoting Epiphanius, in Torrance's 'Trinitarian Faith':
[G]od is one, the Father in the Son, the Son in the Father with the Holy Spirit . . . true enhypostatic Father, and true enhypostatic Son, and true enhypostatic Holy Spirit, three Persons, one Godhead, one being, one glory, one God. In thinking of God you conceive of the Trinity, but without confusing in your mind the Father, the Son and the Holy Spirit. The Father is the Father, the Son is the Son, the Holy Spirit is the Holy Spirit, but there is no deviation in the Trinity from oneness and identity. (Epiphanius, “Anc., 10,” cited by T. F. Torrance, “The Trinitarian Faith,” 234-35)