Cegga's axes are very nice, custom pieces. In my opinion, they are more 'art' pieces than users and represent what a talented maker can fashion if he has the eye and time to spend. Such axes are beautiful.
Tree felling and log splitting axes are generally known as different types of tools, although some compromise designs attempt to achieve both ends. The splitting axe will have a wedge shaped head which is usually somewhat thicker than a regular axe to facilitate splitting, the felling axe will be thinner and sport a slimmer profile for proper cutting. There are some that prefer a double bit axe.
If you really desire a workhorse axe, I'd suggest getting a 3.5 to 4 pounder in single bit configuration and then spend some time putting a decent edge on it. Plumb, Kelly and Collins are good ones to choose from. These can be purchased on e-bay. I don't know of any so called 'custom' axe that would stand up to severe abuse like these tried and true makers afford.
How about a bona fide race-axe?
Custom sharpening is where the race-axes shine. You can get a 5 to six pounder from Keech, Tuatahi, Trojan, Aussie-Speed or Ox-head with a seven inch cutting surface which will really blow your mind in terms of cutting ability. Here, you'll want a work axe which has not been ground as keen as the race axe so that you won't chip the blade on harder wood.
A race-axe, after it has been properly hung, ground, sharpened and polished, is indeed a custom piece to be proud of.