Well, those cuts do produce more surface area. Like any radiator, the more surface area, the faster heat transfers to a lower temperature fluid, in this case, the ambient air. So my guess: The goal here is to cool the barrel faster. I thought that was the reason for fluted barrels. That and lightening cuts.
If we knew the exact composition of the metal in the barrel as well as the exact measurements of the diameter of the barrel and the cuts in it, we might be able to calculate the strain resulting from the pressure of the gas behind the bullet. If the strain is less than three times the elastic limit of the barrel metal, then an engineer might be willing to sign off on the barrel cuts.
I am not that engineer. Any engineer willing to sign off on this crazy...experiment...is likely going to cost a boatload of money. I'm not talking a jon boat of money, more like coal barge.
But that's just my opinion. I could be wrong.