No, you see "breeding implies gender" is not the same thing as "non-breeding implies non-gender".
The thing is, there's a binariness in the concept of gender. We might ask, where does it come from? Why do people think of gender as being binary at all? The answer is that breeding phenomenon motivates the gender concept. Gender is defined with reference to breeding, even though one can be gendered without ever breeding.
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The thing is, there's a binariness in the concept of gender. We might ask, where does it come from? Why do people think of gender as being binary at all? The answer is that breeding phenomenon motivates the gender concept. Gender is defined with reference to breeding, even though one can be gendered without ever breeding.