Not taking the time to learn how to safely and effectively use an axe is not a "con" against the axe in this argument... it's a con on any user that sees this as a shortcoming of this most valuable tool.
In an extended stay bush setting where volume wood processing is a necessity, no tool can contribute more in accomplishing this goal than the axe. In other scenarios, the axe may not be necessary, although a smaller axe or hatchet is still as handy in the woods as anything... even for day trips.
A skilled axeman with a well chosen axe can accomplish an incredible amount of work when it comes to processing wood. Mors Kochanski stated that when he was a younger man, he could fell a 12 inch diameter tree 55-60 feet tall, de-limb it, and buck it into arm span lengths in about 15 minutes. With the right axe in the right hands, every strike is placed exactly where it needs to be and removes big chips of wood, and with relatively few strikes a large amount of wood can be removed. I'm not to that level yet, but I'm getting there. The skill required is one of the reasons I enjoy axe work... because not everyone can or should pick up an axe and use it before they are properly versed.
I have based my entire system around my desire to carry a full-sized American Felling Axe with me in the woods. Day trips or extended day, I will always have my axe...