I use the REAPER mixer on my second screen. Would be nice to have a dock Option here, too. Currently you just can dock windows on the main window.
You can have that if you don't maximize Reaper's GUI, instead stretch it manually over two screens.
you can have more dockers floating there in the second screen.
I don't have a problem with it, honestly. Everything gets saved in a screenset, no problems then even if you accidentally move the window, just reload the screenset. See: (Right-click, show image, then you can zoom in to fullscreen on imgur)