A hole in someone's throat does nothing to help. You do that when someone is choking on a food item. Those people still have fully working lungs.
Gas_dr is the expert on this, though, so I'll ping him.
That was my first thought when I started getting curious about this because it would almost be too obvious so I Googled that and NHS says
If you’re unable to breathe unaided, the tracheostomy tube can be attached to a machine (ventilator) that supplies oxygen to assist with breathing to increase the flow of oxygen to your lungs.