I think its more the principle. Nicotine, like caffine was evolved by planets as a pesticide. Animals (like parasites) that don't normally come in contact with it, likely don't have resitances to it.
Highly evolved Apes like us, are simply to big and evolutionarily advanced to be killed by such a small dose of poison.
This completely misunderstands evolution on a very basic level, and is wrong beyond the hope of being salvaged.
I think it takes eating four cigarettes to kill you.
7.2.1 Human data
7.2.1.1 Adults
The mean lethal dose has been estimated to be 30 to 60 mg (0.5-1.0 mg/kg) (Gosselin, 1988).
7.2.1.2 Children
The lethal dose is considered to be about 10 mg of nicotine (Arena, 1974).
7.2.2 Relevant animal data
Dog: oral LD50: 9.2 mg/kg
mouse: oral LD50: 3.3 mg/kg (RTECS, 1985-86)
rat: oral LD50: 50 mg/kg
edit: http://abcnews.go.com/US/paul-curry-convicted-1994-nicotine-...
edit2: I see what you saw - http://link.springer.com/article/10.1007%2Fs00204-013-1127-0...
I don't know about 'advanced'; my understanding was that our protein were simply slightly different, enough to make nicotine not a potent poison, but just another substance you don't want to take too much of.