The model failing is a question of how accurately you want it to model the world.

Many laypersons have absolutely no conception of how accurate those "failing" models were.

A good example is Newtonian physics. Strictly speaking it is a failing model, after all, under certain conditions and if you look very closely ot falls apart. Yet, every bridge you ever walked on and the most precise mechanical watches ever made were all only calculated using newtonian physics. It is still accurate enough for most tasks on earth.

A model can still be useful despite its limitations, you just need to know those. People who are like "Ha! It is not accurate!" often have their own mental models of the world which are magnitudes worse, miss key bits or get other parts completely wrong (despite clear evidence to the opposite). As if a morbidly obese person for whom even walking presents a challenge made fun of an Olympic silver medalist for only getting second place. "Ha! You didn't get it 100% right so now my fringe theory that fails to even explain the most basic observations must be seen as equally valid!"

So if you say it fails, consider how many digits after the comma it was accurate before it failed and how many digits your own theory would manage.