you bare absolutely correct with your explanation, the two works together but not same. sex and love making cant be same, but the relate

Well to give little insight to your question, Sex is they oil that smoothed the engine, without oil your car cannot move freely, so both love and sex has a true connection that is made from origin.
Let us not push it aside cos it has caused lot of problems to marriages, many has collapsed why some are at the edge of breaking down, due to lack of good sex to they love.there are causal sex and also real love sex, the two are differ to each other.so we cannot talk about love without good sex.this is my view