Clicking in the Pattern's name at Playlist window title is showed the Pattern clip sources selection list, this is the nearest way to do what you would like.
By this selection list is easy and fast to select another pattern to Draw/Paint it to each desired Playlist track.
A function like each Patern to a Playlist track which you would like to get of the Playlist window there will never be because isn't the proposal of the Playlist window use, the channels into patterns in the FLStudio are like module's samplers allocators.
Imagine you have a tape with a several session recordings parts as a database of the good recording clips - so is how are the Patterns in FLStudio, and the Channels are these recordings clips which can be Patterns Clips ([virtual] instruments, layers, [MIDI Out] controllers and samplers), Audio Clips (recordings and samplers) and Automation Clips (closely related to Event automation).
The Playlist window is a stack of multi-purpose 'Clip Tracks' that can host Patterns Clips, Audio Clips and Automation Clips. Unlike most other sequencers, the Playlist tracks are not bound to any one instrument, audio recording or even Clip type. You can put any Clip type anywhere and even overlay Clips. Think of Clips as a little like notes in the Piano roll. When the play-head reaches a Clip, FL Studio plays whatever the Clip instructs it to do.