@Exzentrik You're incentivized to play to your specialties, as the game is designed. You see that red X because you're chopping a tree when you're not the one that's efficient at it.
This game is all about efficiency. For example, if you're crafting something you'd want the person with the highest efficiency to craft it since they use far less materials. In the previous skill system though, you'd just sit around waiting to have points then put it into efficiency, not wanting to do anything until you've maxed that out. As was also mentioned earlier, another issue was that you could sit around waiting for experience, or give experience per action/craft then put those points into something else. Where was the fun, or realism, in getting better at cooking by say mining?
With the new system, you're forced to actually practice your craft in order to gain experience in that skill to become more efficient at it, and also become faster. Though I will agree that some things are a bit weird. Like Advanced Campfire Cooking only gives experience for I think 4 or 5 certain recipes that are unlocked with that specialty. Anything cooked on the campfire should give experience though in my opinion. Though again these are things best left to the proper channels (idea suggestions).