The workmanship on this axe is amazing. It came razor sharp and really sings in use. I have used it for firewood preparation and carving, but I've no doubt you could fell and limb a tree with it if you had to. The polished head is supposed to make it more efficient, reducing friction as it passes through the wood. Having said that, It's very hard to tell how much difference it makes as I guess you would have to have an unpolished version to compare it to. My personal preference is for an unpolished axe, as I find that a forge finish resists rust better and if I'm honest i prefer the look.
I would definitely recommend a Cegga axe, if you can get hold of one. I would love to try one of his Viking style axes or even better, get him to make a custom carving axe, but he is not the easiest person to get in touch with. He doesn't have a website that I'm aware of and i sent him a message on Bushcraft UK several months ago, but never heard back from him. However I did see him post on Bushcraft UK recently and he even mentioned the possibility of a trip to the UK with some axes for sale. This is the kind of thing I would like to try.