Where i think carbon helps is in sweet spot, and kick, so with a shorter swing than an allwood you can have a faster/stronger ball.
Probably for the top 200/500 top players in the world the game gets so fast and need so much precision that carbon can be a must, even though there are players like Karlsson, Szöcs and a bunch more.
But to my knowledge, there are very good players on the portuguese 1 division, that even played on the national team and they still use allwood and their game don't miss any more power, click, precision etc.
I'm just playing the devil advocate here for conversation sake, since i play carbon blades mostly too (the last 3 seasons, innerforce, outer zlc and now alc), but really like allwood. In my case i preffer to play with carbon for a more consistente blade overall. But when i tried allwood again, im considering if i win or loose more with one or another.
Im no pro player, but no beginner too, im an average player of the 2º division in Portugal.
PS: i tested Korbel SK7 and found it utterly slow for me, don't know how Karlson do it 😅