The first definition I see for attraction is "pleasing to the senses" and the second is "sexually alluring." If OP meant something more than physical, then "attraction" was a misleading word choice.
Even with your definition of attraction, attraction-based love is fundamentally self-serving, and those who practice it rob themselves of the beauty of blind commitment in loving relationships.
If the definition of attraction is to be read to encompass everything that makes you like a person, doesn't it make the original statement vacuous? "Liking each other is what helps couples stay together?" I suppose it's true that few couples ever got divorced who wanted to be together. But it doesn't tell us anything.
