Romans 9:13 -- "Jacob have I loved, but Esau have I hated.
This does not sound like God loved Esau. Most religion including Christianity teaches that God loves everyone but I am not at all confused about what the word "hate" means.
Does God hate?
I think God loved BOTH.
But God did not approve of Esau. To "hate" is IMO the opposite of to like, to approve.
When I was a boy (and maybe since, lol) my parents have often loved and hated me. They may have been very disappointed with me, very angry with me - but would give me their kidney in a heart beat, lol.