No that’s not really the cause. This is a known thing and reintroduction is common. For example:

https://www.nps.gov/yell/learn/nature/wolf-restoration.htm

TLDR: Cause: “ In the 1800s, westward expansion brought settlers and their livestock into direct contact with native predator and prey species. Much of the wolves’ prey base was destroyed as agriculture flourished. With the prey base removed, wolves began to prey on domestic stock, which resulted in humans eliminating wolves”

Effect of reintroduction: “Preliminary data from studies indicate that wolf recovery will likely lead to greater biodiversity throughout the GYE. Wolves have preyed primarily on elk, and these carcasses have provided food to a wide variety of other animals, especially scavenging species. Wolves are increasingly preying on bison, especially in late winter. However, most bison biomass consumed by wolves is through scavenging bison dying from other natural causes. Grizzly bears have usurped wolf kills almost at will, contrary to predictions and observations from other areas where the two species occur. Wolf kills, then, provide an important resource for bears in low-food years. Aggression toward coyotes initially decreased the number of coyotes inside wolf territories, which may have benefited other smaller predators, rodents, and birds of prey.”