I can probably weigh in on this discussion as I have two qualifications... I have been to Hwange National Park and contributed my conservation dollars and I have met with and spoken with Lance Armstrong in his former capacity as head of the Livestrong Foundation.
In my opinion any Lance Armstrong conversation should be as complex as the issues, the sport dynamics and the individual. The cycling sport is rife with corruption and cheating... absolutely proven over the years. The winners are almost always cheaters... absolutely proven over the years. The individual succumbed to the temptation and desire to be the best at his sport and felt compelled to cheat and lie about it... absolutely proven. So he lied and cheated in a sport that is corrupt and full of liars and cheats. The only surprise in all of this is that the tour actually survives year after year of scandal because the fans love it.
On the other side of the equation Lance has done something that none of the other cheats and liars did as far as I am aware. He created a foundation that has contributed hundreds of millions of dollars to the fight against cancer, supporting both research and patients. He used his fame and fortune to benefit the population at large. That buys a lot of consideration in my mind. Complex to say the least.
As for big game trophy hunting in Africa I just don't get it. As stated... just because you can doesn't mean you should. Others have stated the numbers point to a decline and while it is somewhat true that certain populations of elephants are too large, in general the concern is great.
While tenting my way around Zimbabwe, Namibia, Botswana and Zambia, I have had the opportunity to photograph lions, leopards, rhinoceros, elephants, buffalo and many other African animals in their natural environment. I have woken in my tent at midnight while listening to a pod of hippos going by just below the river bank, heard a pride of lions take a buffalo at night, seen crocodiles dozing one minute and leap into a frenzied hunt in another. I have angered a bull elephant at least twice, dodged ostriches on the road, spotted every manner of antelope in the bushes, come face to face with an angry sable antelope and found myself hiking in the middle of a herd of wildebeest. While setting up my tent one evening I watched a leopard cross about 60 yards away and then perch on a rocky ledge about 200 yards away and wait for dark. Not long afterwards the guinea fowl in the field nearby erupted and then settled down. In the morning there were feathers everywhere.
I could go on and on but my point is simple, I wouldn't trade one minute of these experiences or one click of the shutter for the opportunity to squeeze the trigger and drop one of these animals. (Nor would I hunt them with a bow.) If we want future generations to have the opportunities I have had we need to protect the habitat and the animals.