Ok,
Nvidia released new drivers 2 days ago (382.05) but MCO has the same issue (0 bytes reported video ram), as with the 381.89.
Yet, another game, Expedition Conquistador is working well with this driver.
Knowing that with 373.06, Mech Commander was running well, I tried an intermediary one: 375.95, and with this one both games work correctly.
My list:
373.06-desktop-win10-64bit-international-whql: MCO OK, Expedition Conquistador NG
375.95-desktop-win10-64bit-international-whql: MCO OK, Expedition Conquistador OK
381.89-desktop-win10-64bit-international-whql: MCO NG, Expedition Conquistador NG
382.05-desktop-win10-64bit-international-whql: MCO NG, Expedition Conquistador OK