The ports and additional chambers are going to behave like braces in any other cabinet. They'll have little to no measurable affect and will have even less audible affect.
In a sealed box all you have is the front of the cone to make noise. In a ported enclosure, most people can't hear an audible tonal difference between, say, 35 Hz tuning and 38 Hz tuning.
I predict that adding chambers and ports to a sealed box will yield less than .5 Hz difference in the Fb of the box, relative to the change that simply making the box larger would cause.
In simple terms, you're trying to see if three interconnected 2' boxes will hold more than one 6' box. And the answer is, it won't.
What you will accomplish though is only two of three things a DCBR accomplishes and that's lower driver excursion as a result of the added port resistance and consequently, slightly higher power handling capability. But, less excursion is only desirable if you have a driver with low xmax and with the technologies we have today in the audio world, a driver with low xmax that needs help with power handling isn't worth the time and trouble of making a complicated enclosure for. Especially when you know for a fact that that complicated enclosure won't provide any acoustical gain. Not to mention, the increase in power handling would be negligible because you're not really moving much more air at all across the coil, since no fresh air can enter a closed system.
And please don't get me wrong... I applaud your thinking into it. I just don't see any appreciable benefit from what you're proposing.