> For five flights, the airline would have a problem swapping out the planes because there's likely only one plane on hand at that airport at that time.
This is disingenuous at best.
Assuming you're talking about flights where an aircraft operates an outbound flight from its base to airport XXX and then an inbound flight back "home" again.
If the airline decides to swap on outbound (base-XXX) flight, you'll get exactly that aircraft on the inbound (XXX-base) flight. It won't be completely last minute, because as soon as the outbound flight is swapped you know you'll be flying that aircraft on the inbound leg, but still, unless you change your flight to another, you'll be flying the swapped aircraft nevertheless. You just get a few more hours' notice.
FWIW, exactly this happened to my wife on Friday (Lufthansa transatlantic flight scheduled as A350, operated by an A340 due to disruption in Germany earlier last week due to freezing rain). For her that was the second late aircraft swap of 4 flights in the last 14 days.