Well, I'm not sure about a difference between deceiving and cheating, aside from a matter of profit, which is clear in the case of cheating, but not so much in deceiving. Turning a blind eye to and ignoring seem to be quite different, however, since they are more passive and less active. Ignoring a fact is different from making one one up, though it may also be a form of deception. This looks to be very tangled space on a semantic map and I am not sure how to untangle it. It does raise the tp questions about how to say "ignore" as well as the other questions already raised. Playing with 'oko' is probably a calque from English, though 'pini e oko' "finish an eye" doesn't sound familiar 'like say, 'sike weka e oko' "turn away an eye" which is, of course, a real calque. 'mi nasa e sama' is just "I drive myself crazy" which is probably going too far.