I wouldn't consider that love, no. Perhaps you can define "love" so I can see where you are coming from?
I think we may be talking about two different things. I can see from your perspective that the act can be seen as either obedience, social conformity, or maybe even self-interest.
To frame the discussion so we're talking on the same terms, we should probably look at Kohlberg's six stages of moral development. According to the model, there are three levels with each having two stages. The model is shown below:
Level 1 (Pre-Conventional)
1. Obedience and punishment orientation
(How can I avoid punishment?)
2. Self-interest orientation
(What's in it for me?)
(Paying for a benefit)
Level 2 (Conventional)
3. Interpersonal accord and conformity
(Social norms)
(The good boy/girl attitude)
4. Authority and social-order maintaining orientation
(Law and order morality)
Level 3 (Post-Conventional)
5. Social contract orientation
6. Universal ethical principles
(Principled conscience)
I believe the concept of morals has more significance at the Post-Conventional level (Level 3) where the individual internalizes the action and understand the meaning of the action.
Given that, I believe that this is where love takes its place. This is where love can serve the foundation of "ethical principles" and morals. My definition of love is what is defined by Merriam-Webster and also further supported by the biblical definition of love including agapao, phileo, and agape love.
According to Merriam-Webster one of the definitions or dimensions of love is "a : unselfish loyal and benevolent concern for the good of another: as (1) : the fatherly concern of God for humankind (2) : brotherly concern for others". This definition of love has more significance as a foundation for morals than the other dimensions of love (sexual love, attraction, affection).