You hate to see it: The green band of paint around a tree trunk. You cycle quickly through the stages of grief: No! Looks fine to me. Give it a chance. Can't you use some new experimental treatment? Must it go now?
Then the men come, the saws sing and that's the end. You wonder if it ever gets to them, or whether they think they're doing the necessary work of arboreal management. There's probably one guy who takes unnecessary pleasure in his work, though.
"I hate trees. A tree killed my brother."
That's awful! How did it happen?
"He entered a logrolling competition."
Oh, no! Was he crushed?
"No, he got a paper cut on his lip when he licked the envelope to mail in his entry. Got infected. Carried him off a month later."
That's ... horrible, but I don't see how a tree is to blame.