Any chain that actually gets rusty is woefully under-lubricated.
I'd go further, and say any chain that stays clean is probably under-lubricated too (though this'll matter less with an O-ring chain and may not be such an issue with them).
Honda, and engineering textbooks I've seen, all recommend oil over wax-type products, despite its tendency to attract/retain dirt.
Little and often reduces the mess and improves the lubrication, so a chain oiler can be useful.