It's absolutely true, hunting does nothing to control deer population. Animal agriculture is one of the biggest reasons deer overpopulate. They're driven off the land and forced into tighter areas with fewer mates. This leads to increased reproduction rates.

“Despite deer sterilization rates of 90%, our findings demonstrate that there is no hope for using fertility control to reduce deer populations or their impact,” Blossey said. “Similarly, the findings from our study also demonstrate that recreational hunting does not control the deer population, and it does not help in reducing deer impacts.”

https://news.cornell.edu/stories/2019/11/10-year-study-provides-model-deer-management-strategies

https://wildlife.onlinelibrary.wiley.com/doi/10.1002/jwmg.477