CO codeshares of BR (EVA) flights are exactly that - flown on BR equipment which include 747, MD11, and 767.
I've often touted BR Evergreen Deluxe Class (fare class L) to be an under-rated and possibly even less-known little 'secret' in maximizing transpacific comfort without having to shell out megabucks for business class and, moreover, first class, on other carriers.
No bonus miles for this class flown, but a transpacific in itself is pretty rich in miles. And, if CO sees more and more people accumulating miles on their codeshare partners for such flights, they will certainly have evidence that there is indeed demand for such routes, possibly opening heightened discussion among themselves internally to step up their efforts at expanding representation by their own equipment.