Depends on the game. For a game such as State of Decay, makes perfect sense since it's a survival based game.
For a game like The Witcher III, your swords won't break but the durability will decrease and the amount of damage that you do decreases as the durability decreases. Repairing the swords, equipment, etc. is easy so it's not a big deal at all.
In a game like Zelda: BOTW, it just doesn't fit as well but the main problem is that the Master Sword is said to also break which if true, defeats the entire purpose of trying to acquire this sword and kind of makes it seem not so mastery. LOL.
So basically, it truly comes down to the individual game and how it's implemented and based on that will determine if it's a yes or no for me.