He’s not really feeling the pain. He’s just pretending to feel the woodsman’s pain. Basically they hate the tree so they claim to “feel” the woodsman’s pain as an excuse for being against the tree.
Sly fox= europe,hates eretz yisroel because they are jewish, but like the “sly fox” hide the true meaning of hatred behind misplaced agony over the plights of the woodsman
eagle= USA, not caring about the tree that much either, but because it serves a purpose for the eagle, it will deign to let it stay alive