I’ve seen this choice play out with my own cats. I live in a 120+ year old farm house, and both cats came from my in-laws farm and therefore are familiar with catching mice. Every fall at least one mouse makes its way into the house to try to escape the cold and meets its end with the cats. They ultimately choose to eat the cat food (I generally go for Purina because its available at multiple local stores and decent quality) and chase the mice to death, which we ultimately have to toss into the yard to dispose of since they choose not to eat the mice.