There is a principle called Total Light Interval (TLI). Some have written about it, but it pretty much says the same thing that you typed.
However, most articles fail to apply some common sense or any kind of experience. In your example, half the par for twice as long might be OK... but a coral that need 3200 TLI, for example, can do that 8 hours for 400, but 1 hour at 3200 is probably stupid and so is 16 hours at 200. I have never even heard of anybody having any success running 1 hour, nor 16. There has to be some normalcy applied to the hours and intensity, IMO.
I would try and stay in the 7 to 10 hour range, even if the ends are ramping. Some photo cycles need time to get going.