There's an old tale about this where everyone switched from brooms to vacuum cleaners to save work, which then caused a coal plant to be opened for the increased power demand, which proceeded to dirty everyone's homes so everyone was working just as hard for a slightly dirtier home than when they were using brooms.

At least for the home example, you're usually better off reducing the factors that would make a break-in happen in the first place rather than trying to win an arms race against a determined attacker; there are high trust societies where people don't bother locking their doors and people don't get burgled. But obviously the threat model is different than a utility.