Glock advices not to use lead projectiles in their poly barrels because of fouling.
When it comes to polygonal rifling, "faster shooting", and "reduced fouling" are marketing speak for cheaper to manufacture. Polygonal rifling makes as much sense to spin a bullet as does rounding off the corners on a hex nut so you can torque it properly.
If you want a spline to work, you need more surface area that is close to perpendicular to the force you are applying in order to generate torque. Very shallow contact angles basically more easily crush the softer of the two materials in contact. When it comes to lead bullets in a Glock, the poly rifling lands crush the bullet and open a gap on the other side of the "land". This allows excess hot gas to leak past the bullet, melting some lead at those gaps and soldering it to the barrel. The very opposite of less blowby and reduced fouling.
Now, there are several styles of polygonal rifling, and my fundamental objection is not equally strong for all of them. Lead pellets are light for caliber, and cold air is not going to melt the lead. So poly barrel may work fine for airguns; but that is not the same as superior to conventional rifling for pellets or slugs. The exact style, dimensions, consistency and finish matter a great deal.
In the same way, conventional spline rifling, whether cut, button rifled, broached or hammer forged also come in many different styles and depths. And the quality and consistency down the barrel is not related to the style of rifling, but by the cost and care applied by the manufacturer. All this assumes the land and groove diameters are matched to the projectiles you choose to shoot.
So called 5R rifling has a shallower angle on the land edges, with a fillet in the inside corners between land and the groove diameter. That is about as far as I would go "to reduce gas leakage and fouling". Certainly. proper 5R rifling has a reputation for long range accuracy; but even that depends on who made the barrel.
Poly rifling this far from spline rifling is more likely to skid and crush projectiles:
Compare the above to 5R rifling
And conventional rifling:
From:
https://vortakt.com/selecting-different-rifling-styles/ Also see poly rifling study:
https://journals.sagepub.com/doi/pdf/10.1177/00368504211016954 For pellet shooting, you could argue that RWS style wide but conventional looking lands, with narrow rounded or V-shaped grooves offer better "bore riding" pellet head support. Certainly better than the rounded lands of the "poly" barrel photo shown higher up in this thread. How either of them shoots matters more than what they look like. That depend heavily on how well the barrels were made, and how compatible the barrels are with the pellets being shot from them.
As for the title of this thread about "cut rifling"; very few airguns use cut rifling because that is very expensive to manufacture. Today, most airgun barrels are button rifled. Some are hammer forged. FX has an externally embossing process to produce low cost barrels. So, I assume the OP meant to compare polygonal rifling to conventional rifling, rather than cut rifling.