Once a bee uses its stinger, it dies. So, wouldn't it be cool in a symbolic way if Killer Bee possessed an OP technique that kills him when he uses it? One final attack, sacrificing himself in the process, Killer Bee's "stinger".
It's not really Killer Bee, it's more like Killer B. Meaning that Bee has nothing to do with a bee.
His name is a reference to the famed rap group, the Wu-Tang Clan, often referred to as the "Killer Bees".
Bī is the Japanese pronunciation of the letter "B" (as well as the Japanese pronunciation of "Bee").
During a fierce battle with Taka, B quoted Muhammad Ali's famous line, "float like a butterfly, sting like a bee".
Killer B makes various references to bees. This is a pun on the number of tails his tailed beast has. Eight in Japanese is hachi (八), a homophone to the Japanese word for bee, hachi (蜂).
OT: Just wanted to point out that the only reason a bee dies after stinging you is because their stinger is kind of like a hook and it gets stuck in your skin. They literally kill themselves by trying to fly away, pulling out their insides.