Romans 5:8
But God demonstrates His own love toward us, in that while we were yet sinners, Christ died for us.
John 3:16
For God so loved the world, that He gave His only begotten Son, that whoever believes in Him shall not perish, but have eternal life.
2 Peter 3:9
The Lord is not slow about His promise, as some count slowness, but is patient toward you, not wishing for any to perish but for all to come to repentance.
I don’t think scripture bears that out, God wants all to be saved and Jesus died for all knowing that some will be saved and some won’t.
I would still call it love rather than unconditional love. Even the Bible doesn’t say that God unconditionally loves us but rather says God loves us.