The big issue is that the English Language (and others as well) have one catch-all word to describe different types of love.
Love between friends.
Love between parents and offspring
Love between siblings
Amorous love
Love of career
Love of country (this one is debatable - the word "Patriot" gets used for this quite a bit in English)
Love of a group
Love of a mentor
These are just many different sorts of love off the top of my head. Language tends to focus by way of becoming more descriptive of that which it, as a society, finds important. Many Eskimo and Aleut tribes have as many as 12 different words to describe snow, depending upon moisture content, compact-ability, stickiness, hardness, etc. In English, we call all of it "snow".
If defining of love in exacting terms was a focus of the English-speaking world, my guess is we would have more words than just "love" to use as a descriptor.