Trees in game would not be as loud as you guys assume. I have been near such trees enough to know that the tree has to be much bigger than what we have in game to be so loud. Plus, chopping isn’t loud at all. You would hear a boxer hitting a bag about as loud.
Youtube chopping a tree. You will find pine to be a soft wood and not difficult to chop. As for harder wood. Not much of a change really. Chainsawing however…yes, because the engine noise. Chopping? Not to loud and the tree falling, not too bad either. Nothing that would hurt the ears or draw to much attention.
If this were to change though. I would think that the noise would carry in an open area and create a scaled amount of noise based around how many object surround the cause of the noise. You would draw more attention on the edge of the forest than in the middle, due too the surrounding object to the source.