Sound logic! (no pun intended)
I was involved in chasing a big brown bear with an R-44. We were trying to locate a bear that had killed a guy and had been wounded. I was acting as a door-gunner and the pilot was darn near landing on the bear. We needed to ascertain if it was the right bear. Bear, as you said, have better brakes than us, would stop in his tracks and duck down and we'd fly right by. He'd run off in a different direction, plowing thru alder thickets.
One thicket had a young cow moose in it and that bear ran right by the moose, maybe 2' away. I can still see the terrified little dance/jig the cow did as the bear went by, then we went by! She's probably still in therapy!
Turned out to be the wrong bear and we never did locate the killer bear.