Brummer’s objection is unsuccessful because it misunderstands Aquinas’ approach.
Aquinas would accept Brummer’s point, that analogy does not enable us to know or say what God’s qualities actually are.
Aquinas’ goal is to say what God’s qualities are like. To assert that there is a likeness between God’s qualities and ours.
We may not be able to know in what way God’s qualities are like ours, but Aquinas is only arguing that we can know that they are alike.
We cannot know what God’s qualities are like, but we can know that they are like ours. We can therefore meaningfully say this minimal statement; that, whatever they are, they are ‘like’ – analogous to – our own.
Whatever God’s qualities are like, they are like ours. So, God has qualities that are like human knowledge, love, wisdom and power, though in a way proportional to God’s nature.