Love cannot be reduced to behaviour. Our definition of love must include more. If love was simply the way we behave towards other people, then actors would be in love with their co-actors or actresses when playing the part of an on-screen couple. They are behaving as though they are in love, therefore, by this narrow definition, they are in love.
Love must be more than simply acting or behaving in a certain way. It must include feeling and desire. The action without the presence of the feeling is not love, it is acting.