Max,

Me too.
On the road several times.

But I found afer hitch hiking to a gas station and just putting in a
couple of gallons the pump picked the gas up OK and got it to the engine
with no problems, and no T-fitting loosening.

Here's a thought.

How could the system get air bound when the injector's are still
opening?

Yes, they will just be expelling the air that's in the system, but the
gas will eventually get to the cylinder's.

I've never had this kind of problem with fuel delivery after running out
of gas.

Even after changing all the fuel lines.

Let the pump do it's work, and the engine fires right away.

Take Care,