I can’t speak to the US forces, but in the UK and Commonwealth, there was in general, no proscription on an escaped POW returning to active duty.
However, all returning escapers were thoroughly debriefed for intelligence purposes, ranging from the circumstances of their capture, how they were interrogated by the Germans, morale of German troops & civilians, conditions in Germany or occupied countries, troop movements they may have seen, factories, etc.
Some returned POWs were prohibited from active service lest they be recaptured: Wing-Commander Basil Embry had killed a German soldier in France during his escape (a most unusual incident: violence against guards was almost unheard of), and so was not allowed to fly over enemy territory. Also banned from “front-line” duty were those who had passed through an “escape line,” or had been in prolonged contact with a resistance movement, in order to lessen the risk of compromising these groups in the event of recapture.
Remember, too, that we are only talking about a couple of hundred men in total: a miniscule percent of those who escaped from a camp actually made a “home run.” I refer here to escapers, as opposed to evaders (those who were never actually captured by the Germans), of whom there were over 2000.
Some of those who returned were very useful as instructors to others on the subject of escape and evasion. I know that several returned POWs in the RAF did a circuit of aerodromes, giving lectures to new aircrew about how to handle yourself if shot down–including avoiding German interrogation tricks.
Some who had been POWs for two or three years would have to take a great deal of training in new aircraft, weapons, etc.: imagine an RAF pilot shot down in December 1939 in a Hampden bomber, returning to service in 1943, with H2S radar, “Gee,” huge Stirling bombers, etc. He’d need a lot of catch-up time!
All returning British POWs were also accessed as to their mental state: captivity could affect men in many different ways, and not all would have been deemed suitable for a return to combat.
Speaking of the Free Poles, Czechs, etc., they formed several RAF squadrons during the Battle of Britain, and fought the Germans with an implacable fury, and understandably so. Here’s some information onCzechs in the RAF, and on the Free Poles during WWII. For comparative purposes, here is a table of nationality of RAF Fighter Command pilotsduring the Battle of Britain.