Do you mean hero has reverse implied odds? The problem with your example is that hero still has a bunch of true nut outs, only a few of his outs are tainted so it's not a typical reverse-implied odds situation.
The classic examples of reverse-implied odds are chasing a FD with theon a
or chasing a straight with
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on
or simply overvaluing hands like
or
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on a 

or chasing a
on 
or simply overvaluing hands like 
or 
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