You are shifting the goalposts here. I argued against hunting beeing, and I quote:

Its pretty proven at a 5th grade reading level of study, and even more proven with every grade up.

Its actually kind if hard to find a more proven aspect of biology.

You are the one who claimed that it's 1000 % proven that hunting is good pest control. Which is not true.

I didn't argue against it beeing efficient in some locations. I argued against it beeing "hard to find a more proven aspect of biology" that it is so.

So either show me some scientific backup or admit that you might have been a bit of there (it happens to the best of us, no big deal).

That doesnt change the fact that in areas where we have removed or reduced predator populations, replacement hunting does show to help fill the gap and keep prey populations within healthy limits.

Please read the study I posted earlier, which shows how this is not universaly true, or, as I have said before, at the very least controversal.

Look at the american deer conundrum as your prime example. When we stop hunting them in areas low in predation, they start destroying their already fragile ecosystems with overgrazing.

Regarding this i would like to direct you to this study:

https://onlinelibrary.wiley.com/doi/full/10.1002/ece3.5729

Specifically, recreational hunting was unable to decrease deer densities sufficiently to protect growth of the majority of Q. rubra seedlings, as reported elsewhere (Bengsen & Sparkes, 2016; Blossey et al., 2017; Simard, Dussault, Huot, & Cote, 2013; Williams et al., 2013). This inability of woody species to transition from seedlings to saplings over much of the eastern US, and not just of palatable species (Kelly, 2019; Miller & McGill, 2019), occurs in a region where recreational hunting is widespread, ubiquitous, and accepted by the vast majority of citizens (Brown, Decker, & Kelley, 1984; Decker, Stedman, Larson, & Siemer, 2015). Some authors claim that hunting can reduce deer browse pressure on herbaceous and woody species, but browse reductions were either small (Hothorn & Müller, 2010), or we lack information about differences in hunting pressure in reference areas that also saw improvements in woody and herbaceous plant performance (Jenkins, Jenkins, Webster, Zollner, & Shields, 2014; Jenkins, Murray, Jenkins, & Webster, 2015). We therefore need to reject claims by wildlife management agencies that recreational hunting is sufficient to allow forest regeneration and can protect biodiversity (NYSDEC, 2011; Rogerson, 2010).

To be fair, they are talking about hunting beeing the only method used here and also can't find prove, that other measures (like only protecting the plants) and no hunting are enoth. There just is not enoth clear data to support either side right now. Hence its controversal.