Yes, fair point. Which leads us through to Socrates’ definition, which is that the highest form of love is love of wisdom. But I take issue with that too—not because I dislike wisdom or anything but just because I question how much that can be said to have anything to do with romantic love.
Please don't make the mistake of associating Aristophanes' speech as being what Plato was arguing for as a definition of Eros. Socrates interrupts Aristophanes and questions him –saying, well okay, if that's love, this search –what happens when you become literally fused back together again, once you've found your other half, is the love part over? Does love tend towards its termination? Diotima's speech in the Symposium is a lot more likely to be on par with Plato's views since it involves love not of anything corporeal but of the form of Beauty itself.