Nothing moves without applied energy/force.
And we know the air applies a net force upwards, and thus isn't causing the force/isn't the force.
We also know that something has to be pushing the air down to keep it pressurised.
And gravity is the pseudo-science.
Are you sure about that?
If it is the pseudo-science, why is it capable of producing a coherent model to explain observations, and why is backed up by mountains of evidence?
I agree the pressure of the matter is greater below because everything is stacked above.
But to see it from both points you have to see it as pressure from all angles when a dense mass is placed within it.
I understand that it is pressure from all angles.
And I understand the effect of that pressure.
But the pressure is not equal from all angles.
The pressure is greater the lower down it is.
It can also be made greater by air currents, especially those that are blocked, such as wind which blows objects.
The simple fact the pressure from calm air is greatest below an object which results in a net upwards force.
The air cannot push things down, as it is trying to push it up.
We see this with objects weighing less when they have the air inside evacuated, and them weighing less when submerged (even partly) into a fluid more dense than air.
When you displace something it's going to crush back onto you by the same amount of pressure as you displaced.
Why?
Why does it only crash back on you? Why doesn't it crash back on everything?
Why you push air into a balloon, why does it push on the balloon and cause the balloon to be pushed out?
Why doesn't it only push back on my mouth or me?
As much as you think none of that affects you you can now understand that it does
You were the one claiming it only affects the person breathing out.
But now you contradict yourself and claim it should affect everyone?