As already stated, Hunters tend to die very quickly. If it's not hunting dangerous, predatory wildlife - often in packs; it's getting caught outside during a siege. That said, some of my favorite dwarves have been Hunters. I tend to get attached to the dwarves who perform awesome martial feats. If they suffer crippling injuries and recover to continue their blaze of glory, all the better. I find them more personable, and find my fortress to feel less like an ant farm. All things said, it's difficult to individually connect with more than a hundred dwarves. At some point, Farmers become generic, and Peasant recruits all look exactly the same.
My favorite Hunter took on a Giant Eagle and lost her left hand. She managed to plunk a Bolt in the Giant Eagle's throat, so that it bled to death. However, it snipped off her left hand before collapsing. She recovered, and though without a shield, led a long and illustrious career, including a near brush with an angry Sasquatch. She pegged it in the head and it fell unconscious with what I thought was a debilitating throat injury. Much to my Hunter's surprise, it hopped to its feet when she closed distance and promptly pummeled her to within an inch of her life before her War Dog sacrified itself to tear out the Sasquatch's throat the rest of the way. Four years of recovery later, after surviving three red limbs, upper and lower, a red upper torso, and a left arm missing at the shoulder, she resumed Hunting. She eventually got caught in an ambush, took down four of six Spear Goblins, and managed to crawl back to the fortress entrance nervous system damage and a missing feet before falling unconscious. Six year later she has largely recovered, minus the missing feet, but she is only ever awake for a few seconds at a time before passing out again. She has a bed of honor off the main dining hall so people can visit her.