Will water flowing directly downwards hydrate my farm?

I’m living on an island and trying to play with all the constraints that entails – foremost being a lack of space to build things. I want to create a farm so I don’t need to rely on mob spawns for my food but the lack of island space means I’ll need to build my farm upwards rather than outwards.

If I were to create a series of 5×5 "shelves" of farmland on top of each other and connect them with a hole in the center would water flowing from the topmost layer of farmland hydrate the shelves beneath it?

From my experience I know that flowing water will hydrate tilled dirt it flows adjacent to, but I’m not sure if the situation is the same when the water flows straight downward.