That is total supposition, but if you like it you could rule it.
IMHO you'd probably want to keep the tear ducts.
They would serve to not only keep dust off the eye in the most simple manner that is already engineered to work with your eye socket and eye-lids in the most wonderfully holistic manner but also would lubricate same cybereye within your eye socket.
+ of course you get to retain the human expression of crying, which is helpful to, well feel human.
Generally speaking: why change it if it's not broke?
One of the reasons for tears is to clean the eye, particularly dust. The electrical field around a cybereye repels dust so there is no need for tears or blinking.