Yes, just to confirm, the whole "let it fully discharge, and then charge it completely" thing applied to older technologies that had the "memory effect".
Lithium-Ion batteries like the iPhone battery do not have the memory effect, so this is unnecessary. It certainly won't hurt anything to do it, but it is basically superstition and voodoo.
By the way, I write about different battery technologies as part of my job, so I do a lot of research about this.