The Gordius Little Giant is indeed fully remote controllable : you can select songs or banks, select presets, activate effects, press LittleGiant footswitches by sending MIDI messages to the device. The UnO2 firmware doesn't have that functionality, it just has standard MIDI THRU functionality without listening to the incoming MIDI. 
TinyBox also doesn't have any "remote control" functionality. It has extensive MIDI filtering and mapping options on the incoming MIDI (move or copy messages to other MIDI channels, change CC numbers, block or transpose MIDI note ranges, etc) but no remote control. This is on the wish list for a future TinyBox release.