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Habitat destruction is the key one out of all of these. Animals being kept at the zoo for research are usually endangered or vulnerable species which is doing more good than harm to them. Legal hunting of animals is most likely for rabbits, deer, and a stabilized population in the wild. Habitat destruction can destroy many populations and cause loads of damage. An example of that would be the Australian wildfires at the start of 2020.
This isn't always the case and there is no reason it should be .Whether or not a trait is common has to do with how many copies of that gene version (or allele) are in the population. It has little or nothing to do with whether the trait is dominant or recessive. Let's take eye color as an example.