With those breeds, you should be able to spot any Oops crossbreeds by the EE characteristics of pea comb and beard/muffs, so that's handy.
Agree with RR is's just going to depend on your birds. I've had a mature rooster in a breeding pen with two mature hens for a few months, and they all did well. No bare backed hens, no resistance to mating, etc. You'll just have to monitor your specific birds and see how it goes.
Something to keep in mind is maybe not having the rooster in with the hens during the withdrawal period. Just pen the hens separate from both roosters, let their systems clear out, then introduce the desired rooster back in, wait about 48 hours for him to fertilize the eggs, and collect to incubate.