God feels love unconditionally for every single, solitary, faithful or rebellious child - just as I do for my own children (including our “foster” children and those who simply lived with us for a while). My love for “my kids” is not restricted by biological ties; I love every kid who has used our house as a temporary, get-my-life-back-together sleeping pad unconditionally, as well. In this most fundamental way, God’s love truly is unconditional - and felt for and extended to all.
In the Bible, however, there is a STRONG theme of love being proven, expressed or manifested in action - that true love is MUCH more than just a feeling or emotion. (For example, “If ye love me, keep my commandments.” - John 14:15) This obviously pertains to us and our requirement to do more than say we love God. (”Not every one that saith unto me, Lord, Lord shall enter into the kingdom of heaven; but he that doeth the will of my father which is in Heaven.” - Matthew 7:21)
Within this concept is the central idea that “love” also includes the “rewards” of love returned - of “reciprocal love” or “covenant love”. This type of “shared love” is NOT unconditional, as it requires the fulfillment of conditions in order to receive the rewards promised by the giver’s love. The giver’s unconditional love extends the reward to all, but only those who accept that offer and requite their own love in return receive the full, “unconditional” gift. (the gift that includes no condition or restriction but provides all to the receiver) The key addition to the Christian conversation of godly love by Mormonism is that full, godly love exists only in a covenant relationship, where the receiver reflects the gift and unlocks the door to the rewards promised by God to His children who truly do "come follow me".