A catch-22 is a paradoxical situation in which an individual cannot or is incapable of avoiding a problem because of contradictory constraints or rules.[1] Often these situations are such that solving one part of a problem only creates another problem, which ultimately leads back to the original problem. Catch-22s often result from rules, regulations, or procedures that an individual is subject to but has no control over.
In the situation with someone unable to kill a hospital patient, there isn't really a catch-22 because the killer is not restricted to just unplugging the life-support machine. Plus, the catch-22 would apply to the killer and not the patient because the killer is the one faced with the dilemma.
In the situation with the guy falling toward a net and wire, there is no real catch-22 because not removing the net is not an issue with the guy, and while he is incapable of avoiding the situation, he does not want to avoid it(landing on the net). This may not be a catch-22 also because the guy could land on the net, pushing it down far enough to touch the wire. Thus, he lands on both the net and the wire.
Edit:
Forgot to put down my opinion on win-win vs. lose-lose catch-22's. I find a win-win catch-22 very difficult to believe possible. But hey, if you can provide a reasonable example that could happen in real life, I'll rescind my opinion.
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I mean specifically a catch-22 situation that is a win-win to the persons faced with the situation. A person affected by the outcome of such a catch-22 but is not faced with it does not count.