The recipient canister, immediately after venting and sealing, contains only air at roughly atmospheric pressure
I agree with DT: this utterly WRONG. In most cases the canister will still contain fuel vapour.
Air in an ’empty’ fuel canister being refilled? VERY dangerous. That means mixing high pressure oxygen with propane vapour. Could be interesting, if viewed from about 50 m away.
The idea that fuel vapour will go up the (generally) very small passage in the connector from the recipient to the donor is a bit of a myth. The small passage will be full of liquid fuel. The chances of bubbles of vapour pushing past this capillary flow of liquid to any meaningful extent is very minimal.
The chance of gravity driving the flow downwards is small. Oh, it might do so briefly, but the gravity force is very small. You may safely ignore it. What does drive the flow is temperature difference, and only temperature. Put the receiver in the freezer for 10 minutes and the donor in the sun, then connect the two (OUTDOORS!). When the receiver warms up and the donor cools down, disconnect and repeat. BUT weigh the receiver frequently, and (as DT warns) NEVER fill beyond the original nominal weight. There MUST be clearance above the liquid fuel in the receiver at ALL times. Indeed, if you find you have over-filled, vent the excess (outdoors) to get down to the nominal canister weight.
Finally, there seems to be another myth that walkers have these huge piles of half-empty canisters at home. Why? Surely one could simply use the old canister until the flame dies, and then replace it with a new one? When you get home with what seems to be an empty canister, take it OUTSIDE, sit it down on something solid, stick a solid nail in the valve, and hit the nail with a hammer, to break the guts of the valve. Hear it rattle inside. Then leave it outside to sort itself out. That would incidentally be safer all around.
Refilling can be done if you follow all the rules — ALL the rules. But compare the cost of a canister with the cost of fuel for your car: is it worth while?
Cheers