Try using different MIDI channels on your MiniLAB when assigning and using the knobs in Ableton.
One really cool thing about the MiniLAB is that you can switch the channel on the fly using the SHIFT button and the first sixteen keys on the keyboard.
They are labeled as such above those keys.
When you use MIDI learn in Ableton, it remembers what MIDI channel it was. The same knob learned on channel 1 is different than channel 3.
You can get really creative doing things this way, and effectively gives you 256 knobs (16 x 16) you can play with in Ableton.
A pretty simple but reliable solution, provided you can keep track of what is assigned to what MIDI channel.
It can help to keep certain MIDI channels related to certain tracks.
Hope that helps!