Sorry never heard of the blissbox. If it works, it'll show up as a pro controller in the grip screen. No need to be on the screen for it to connect though. GameCube controllers appear as pros as well.
The 2 side ports on the dock work for everything, they're just 2.0, unlike the 3.0 (capable) one inside the dock. Both my GameCube adapters (one is official, one is 3rd party) work on any of the dock's usb ports.