Do the compressor and boost work independently on Compadre?

Yes, the BOOST on Compadre will operate completely independently of the COMP.  This allows you to engage the BOOST side if the COMP side is bypassed.

Also, the bypass state of each side is saved per preset if you use Compadre with an external MiniSwitch to recall a favorite preset, a MultiSwitc Plus to recall 3 presets, or when using MIDI to recall up to 300 presets.