I don't think the heater and filter types would matter.
As long as the water parameters and temperatures are the same, you should be good.
Having said that, i have the same filters in my main and QT tanks. That's so i can move some of the filter media from the main aquarium to the QT when I get new fish. When the new fish go into the community tank, I put the QT media back into the main filter and put the QT away until next time.