Just because something has been done in the past is no reason to continue with it today. On that basis, we should still engage in eugenics and sterilization, for example, or allow cockfighting.
It has long been a shibboleth of state wildlife agencies that bans on trapping will result in Beaver Armageddon, when beaver populations will immediately “explode” to the point that human-beaver conflicts will become overwhelming. This is a fantasy that has no basis in fact.