Without predation, asexual reproduction does better. The cost of "males" is high under these conditions. Unfortunately, these "easy" times are rare. The "ideal" organism would be one that could use either method, depending on circumstances.
A variation on this scenario would be to have limited random predation. Some individuals are still lost, but because it does not result in "selection" pressure [no preference for a particular phenotype], asexual still comes out ahead.
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