scala> List(List(1), List(2), List(3), List(4))
res18: List[List[Int]] = List(List(1), List(2), List(3), List(4))
scala> res18.flatten
res19: List[Int] = List
You can view flatMap(identity) as map(identity).flatten. (Of course it is not implemented that way, since it would take two iterations).
map(identity) gives you the same collection, so in the end it is the same as only flatten.
I would personally stick to flatten, since it is shorter/easier to understand and designed to exactly do this.