Yes residential, with a breaker typically rated for 3-5kA of fault break current guaranteed, it is not too much of an issue, as most breakers will do a magnetic trip within 2 cycles with a short circuit. However remember that this also is on the assumption that the fault will occur more than 2m away from the breaker, allowing the wire impedance, along with the supply impedance, to limit current. So not really an issue, unless you are at the point of supply and have a fault there, or have solar panels, which will run into a short until the sun goes down.
If you are living close to the transformer, or, like me, with 80m of distance, though it is 200m of cable, and the cable is 35mm to the street, where it goes up to 50mm, and there are a trio of 200A fuses in the street cabinet, and another trio of 400A fuses in the substation across the road. Then 20m of 16mm copper, which means the breaker in the meter room has to be rated for 10kA breaking, as anything smaller will not survive. Same for the breakers in the house, as they also rely on cable length to limit current, though the regulations allow you to get by with 3kA rating. The 10kA meter breaker is fine to protect the cable to the house, and the breakers inside are fine for the cable in the walls.
But I have seen socket outlets that have shorted out, and which have blown the cover off, and deformed the steel pressed plate, and also light switches that did the same, with a black skid mark up the wall, and similar inside, with a nice copper coat from the arc. However the breakers, even if some of them were 50 year old Hymag thermal only breakers, did operate to disconnect, though often the breaker was faulty and would not reset. Faulty cords do make a nice bang, and burn a length of the insulation, but generally should trip. However cheap ones, with CCC conductors, often are high enough resistance that a short will not trip a 20A breaker, and will cause a fire.
Guess that is the finding that will come from the last China Mall fire, seems to be a common thing, where the building is wired with Chinese cheap cable, and cheap breakers, with non approved fittings all over, where the cable breaks, and the breakers do not break the circuit. Seems to be a near annual thing, as all of the malls have had a fire at some point in the last decade, size and damage depending on how fast the fire department gets there. 2 closed forever, building condemned, due to the structural damage, and not only from the fire.