for my own faith life God=Jesus, but I wouldn't assume anyone of a different faith would mean the same thing - they are talking about their own understanding of loving who God is. the one way it could be true is if they are truly loving god, I could consider they are loving Jesus without knowing it because they are living in the love of God who is also Jesus
how did you manage to get that exactly backwards?
Luke 10:16 "he who rejects me rejects him who sent me."
John 13:12 "whoever accepts me accepts the one who sent me"
God has simply placed all focus on Jesus Christ, so whoever wants to accept God must accept Jesus Christ. It's just that plain and simple.