F-22s turn the Battle of Britain into a pursuit

What happens if Fighter Command begins the Battle of Britain with one maintainable F-22 for every fighter it historically operated?

The Luftwaffe would be destroyed within hours, with most of that time spent flying east to reach aircraft retreating over Germany or Poland.

Replacing Fighter Command's aircraft one for one with maintainable F-22s would make the air battle extremely brief. The German aircraft could not contest the modern fighters, even without giving the F-22s unlimited ammunition. Most of the elapsed time would be spent flying east to find the last Luftwaffe aircraft over Germany or Poland. The counterfactual shows how range and transit time can become the limiting factors once the technological mismatch removes meaningful air combat.