They must cost a fortune to machine.
The gas is fed into the driving bands, so not sure how much "lubrication" it can provide...if it was into the gap between the bands, and accessed 360 degrees, I'd give it a positive maybe.
Muzzle brakes divert the gasses backwards, providing an opposite impulse to the ejected bullet/powder gasses. This might divert some of the gas to the side, but can't drag the barrel forward.
Maybe the hole in the base reduces tail end "suction", but boat-tails do this pretty OK too...and supersonic shockwaves would stop any real mass transfer from the sides into the "void".
Looks like a very elegant solution in search of a (multiple) problem(s).