The preference in these programs is to retain the existing overall length of the weapon as such it’s likely around the same 16” as the standard AK. In terms of performance it’s not that far from a number of civilian cartridges like 6mm ARC which fires from a standard AR15 receiver group.
Thing is I highly doubt that the Russians are in a position where they could transition to this new cartridge. Beyond the elite units like VDV, Spezatz like Vympl and Alfa maybe PMCs like Patriot. The Russian army never managed to complete their transition from 7.62x39mm to 5.45x39mm. They are a huge mixed bag of Cold War weapon's and token new equipment. The AK12/AK15 on paper is an “M4ski” but in practice the lack of optics and NVG across the Russian forces means that it’s not even in the improved versions much if any better than the Ak74M/AK103 it “replaced”.
This new cartridge 6.02x41mm and rifle AK22 has the same problem's just worse. This is meant to be the Russian reply to the American XM7/XM250 NGSW project however that project has the to be standardized XM157 a 1-8 LPVO with range finder and NV Capability. Allowing the Shooter to take advantage of the 6.8x51mm cartridge’s potential at long range. To get the most out of this cartridge the Russians would need to provide a good quality LPVO optic with some range finding capability’s (manual or digital) and in quantities to issue in militarily relevant numbers. Otherwise this is just another vanity project. Something that maybe they can finish in 2-3 decades but otherwise only shows up at arms shows and parades.
In other circumstances, I would have agreed with you but seeing how Russia, thanks to the war, has been quickly adapting and incorporating new tech that otherwise would have never made it beyond the May Day parades, I'd disagree.
We have seen Russia go from barely any relevant drones, limited PGM availability, thermals, etc. in service to flooding the battlefield with this. While vanity projects like the Uran have largely been missing.