It's quite simple. This person is committing the etymological fallacy. A word's meaning today does not have to be exactly equivalent to its meaning in the past, or to the words it evolved out of.
But even in Plato's depiction of love I don't think they've quite got it right. "that includes romantic/physical love" seems to be conflating romantic love with carnal attraction, which is pretty strongly not what Plato was about.