I understand where you are coming from in so far as a philosophical rationalization of the word ‘choice’ is concerned. But since God hates sin, and loves righteousness, the outcome at end of the day is the same.
I think, however, capacity for choice is the reason we are reassured ‘Jesus is the same yesterday, today, and forever (Hebrews 13:8)’, meaning God’s character is fixed in eternity. Meaning God never will change from Love.
But if Love is not by choice, and if God is not capable of choice, how does He endow us with choice? How can He be merciful to us if He does not understand choice? How does He choose between mercy and judgment if He lacks capacity for choice?
For me, the fact that God chooses between mercy and judgment based on circumstances (e.g. judgment for Saul’s deliberate rebellions vis-a-vis mercy for David’s character weaknesses) is evidence for cognitive choice.
At end of the day, the most important thing is, ‘God is Love’, and He understands all that we struggle with in our sincere desire to get to know Him. In that we can rest content.