Yes, they are, objectively. The minimal amount of labor involved in setting and clearing a trap (literally 30 seconds) is significantly less than the time spent tending to a cat. Even if you only pet it occasionally. I own traps I don't even have to touch with my hands. And they were inexpensive.

Rat traps work 24/7, unlike a cat which sleeps up to 16 hours a day.

Cats must be spade or neutered, an additional cost and effort lest they contribute to the epidemic of semi-feral cats.

Outdoor domestic cats kill an estimated 7 - 26 billion wild animals yearly, most birds, 3/4 of which weren't eaten when studied.

Outdoor cats especially need flea treatment, else they'll bring them into the building. Having dealt with a flea infestation, trust me you don't want to. Involves poisoning your whole dwelling for a few days at significant expense.