There is no mechanistic action for the "vaccines" to treat a respiratory infection. It's a simple problem:
Infections occur in the lungs, the lung barrier is like a balloon surrounding your lungs that selectively modulates what can and can't get in - much like the blood-brain barrier. The lung barrier keeps water out. Water has a molecular weight of 18 daltons and cannot penetrate.
The spike protein has a weight of 148,000 daltons making it physically impossible for a parenterally administered shot to even get to the infection, let alone treat it.
People who take boosters get sick because they are being injected with substances that are making them sick.