And do you hang as spare parts for the engine, it can also break and dealers may be far away. And if you have an accident, you also have spare parts? It may also happen.
Seriously, it's been almost 30 years since I've done a puncture. Yes it can happen just like a broken engine or an accident.
Statistically, there are more accidents than punctures or blow out a sidewall (unless your tires are finished, which can also cause an accident).
If you're scared, you stay home.
And be careful with the small spare tires, they are less high than the regular tires and you may burn a differential.