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
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.