I like the way you have phrased this question because it highlights one of the ways we tend to anthropomorphize over the character of God. For us, we can have characteristics that show more or less. One day I might be patient and kind, and then the next I might be irritable and short-tempered. This can be the case even if, more often than not, I am generally patient and kind. Somedays we just belie the truth, which is that we are not identical with our best attributes, or our worst ones. Our best attributes and our worse attributes can show more or less, depending on circumstances.
To assume that we can separate God and God's attributes is to assume that God is too much like us. There is a long tradition that holds to the idea that God is not separable from God's attributes. If God is love, then God is always love. For God to not be love would be for God to be inconsistent with God's very Self, which is absurd given Who God is.
This statement assumes a particular version of "free-will" that could only apply to humans, assuming such a version of free will is accurate. This version of free will assumes that I am free, if and only if, I am able to act contrary to the will of God. In other words, I am free in so far as I am able to sin. If we project this understanding of free will onto God, then in effect we are saying God is only free in so far as God is able to act contrary to God's own will, which again is absurd given Who God is.
To say that God's will is determined by God's character is, again, to separate God's Person, God's will, and God's actions as if one could be contrary to the other, which is absurd given Who God is.
All this to say, the way you have phrased this post is very effective in showing 1) an inherent problem in a particular understanding of human free will, and 2) an inherent problem in thinking of God's character in separation from God's very Being. Great post!