Does the Ontological Argument Support the Trinity?

According to Anselm, God is the greatest being conceivable (aliquid quo nihil maius cogitari possit). Therefore, an adequate concept of God requires that God have a certain degree of various great-making properties (power, goodness, knowledge, etc.).

Furthermore, God must not only possess a certain degree of various great-making properties, but he must also have necessary existence because it’s greater to exist necessarily (in every possible world) than merely contingently.

While this is obviously a strong argument, I find it frustrating that apologists use this to define God based on their conceptions of what great-making properties God must possess and to what degree. For example, William Lane Craig argues God must comprise more than one person or he could not be perfectly loving before creation since he would not have had another person to give love to.

Craig’s argument assumes that if God were a single person and loved himself, his love would not be perfect since the greatest love must be given to another.

While loving self is obviously different from loving others, it’s not obvious to me that it is a lesser form of love. Finally, even if we were able to determine human love of self is less perfect love, it’s not obvious to me that the same would be most likely true for God.