I don't use a Brisena but I do, do staggered hatches they are pretty much the normal for me... As for time between hatches that all depends on my egg supply, sometimes I'm setting eggs every day, other times it's a few days or a week apart... No real method to my madness... I use the free Hatchabatch app to keep track of when eggs are hatching...
This season I'm using my larger DIY incubator, it's deep enough that I can suspend a basket near the top and use that as an internal 'hatching' area as the eggs bellow continue to be turned... Last year I had two incubators running and one was fully dedicated to just being a hatcher... Makes it much easier when you can move the to be hatching eggs out of the general population in staggered hatches...
As for the OPs original question, I candle almost every day so my eggs get a cool down, can't say if it actually benefits but I see no ill effects and when I finish my grand daddy fully automated incubator I'm working on I will incorporate a cool down option just for good measure...