First, you need to know when each CCC reports your balance to the CRAs. Some report on the statement date (so you will have a balance if you have charged anything during the bililng cycle). Some report just after the due date (so you will have a zero balance if you paid in full on time).
However, there is no such thing as historical utilization. You could theoretically max your cards each month, and then pay everything off a few months before you apply for your mortgage. Your score would not be harmed by the high use of your CLs.
So, to make a short story long, it doesn't make any sense (from a financial or credit perspective) to ever carry a balance unless you are at mortgage time and doing some absolute fine tuning.