If you want to do 12 Monkeys, does that mean you'll include "Le Jetée?" ;D
The ethos in 12 Monkeys isn't really there for cyberpunk when I think about it. It's much more of a cyclical tale then one of questioning ethics. I guess there is the whole angle of "should we even be messing with time travel", but I think cyberpunk deals with a much more personalized tale of the push and pull of morals. (Please correct me if I'm wrong, I only have a passing interest in the genre)
For example, in Johnny Mnemonic there is a tradeoff between being able to keep the data in his head or losing his mind.
In Robocop, Murphy has to deal with the fact that he may no longer be seen as human. That he once had an entire life that's all but been erased.
So in these type of scenarios, it seems like the morality tale is much more character focused whereas in 12 Monkeys there is an overall theme of the morality of humanity.