I think some negative aspects of deer hunting probably get more face time with the press and the anti's. I may be wrong, but assume it's the most popular of the groups listed above. By shear volume of people involved, there are more opportunities for negative stories to come to light.
Border battles, cutting down each others treestands, stealing trail cameras, shooting at other hunters (accidental and intentional), landowner disputes, trespassing are just a few that come to mind.
Paul K. "aim small, miss small"