We have no fear on that front. We were speaking realistically, as the sort of people most willing to judge one, are likely to be willing to judge in the other.

Our opinion is as follows:
Primarily, whatever works best for you.
Secondarily, as few connections as is (conveniently) possible between the two, both to cater more easily to the ones who participate in one but not the other, and to promote others to start up contests of their own. If the two existing contests are too closely bound together, others might be afraid to launch their own contests.