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No. You want to set the crossover on the sub as high as it will go, so that the receiver's crossover will take effect (but not the sub's). In other words, you want your receiver's crossover to be lower than your sub's (you don't want them to "match").
Basically, the lowest crossover of the two will be the one that affects the sound. In reality though, it's more complicated, especially if the two are close in proximity, because one may have a higher order filter than the other.
You don't happen to have an input on your sub that bypasses the crossover, do you? If so, I would use that.
--Nathan
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