And good for them! (Although I believe that there's a minimum size/age for all big game animals so "babies" aren't legal to hunt.)
Each legal kill of an African game animal literally puts thousands of dollars into wildlife conservation on that continent (a single elephant has a fee of $38,000 with a seasonal limit placed on how many can be taken.) Here's a price list for South Africa.
https://www.africanskyhunting.co.za/pricelist.html
The "trophy fee" goes for that conservation effort. It allows for the employment of game wardens (who would otherwise probably be poachers to sustain themselves), veterinarians, biological research and maintenance of game reserves, to name but a few of the areas that are supported by those funds.
And if you think that the animals would be better off without being hunted take a look at what happened to the elephant population in the Congo when hunting was banned about 30-years ago and those fees were no longer being collected.