Here's how the glovebox and storage locking works on my 2007 Z4M Roadster:
1. Doors locked from locking button on console - Only doors lock, storage compartment stays unlocked, glovebox is unlocked, interior button to release boot (trunk) still works, double unlock of doors by pulling on interior release handle works.
2. Car locked from remote with roof down - Doors are locked, won't open with double pull on interior handle, glovebox is unlocked (no electrical locking mechanism or physical lock on it), central storage compartment is locked, locking/unlocking on centre console is disabled, interior button to release boot is disabled.
I have the setting for automatic locking of the doors when the car starts moving disabled, I don't know whether that will make a difference to how the doors and compartments are locked/unlocked.
1. Doors locked from locking button on console - Only doors lock, storage compartment stays unlocked, glovebox is unlocked, interior button to release boot (trunk) still works, double unlock of doors by pulling on interior release handle works.
2. Car locked from remote with roof down - Doors are locked, won't open with double pull on interior handle, glovebox is unlocked (no electrical locking mechanism or physical lock on it), central storage compartment is locked, locking/unlocking on centre console is disabled, interior button to release boot is disabled.
I have the setting for automatic locking of the doors when the car starts moving disabled, I don't know whether that will make a difference to how the doors and compartments are locked/unlocked.