Müller was one of those Nazis where rumors about his alleged survival would always (re)crop up again over the years, much like Martin Bormann (who died in 45 as well). Had a (most likely Russian, though given the GESTAPO's popularity in disinegrating Berlin it might very well have been a German one!) bullet not stopped him then and there, there is however a good chance that the GESTAPO's old boys network would have indeed help him hide well for years and decades to come. BTW, this is the guy that staged the mock attack of alleged Polish forces on a German border station in 1939 as a thinly veiled reason for the Third Reich striking "back". Not so much an early Nazi (he only joined in 1938 - that was late by GESTAPO standards and would have generally hindered his career there, but his fervent hate of anything left obiously made up for it in the eyes of his superiors), he stayed faithful until the end (longer than Himmler and his SS). He also made sure that Georg Elser
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was executed as late as April 1945 to prevent him from being liberated by the American forces approaching Dachau. Elser, a carpenter, early communist
and fundamental Christian had planted a bomb in a Munich cellar in November 1939 where Hitler spoke annually to his old Nazi party founder cronies. The bomb was powerful and would have killed Hitler had he not - against all tradition - left the event very much earlier than usual (he alway gave a lengthy speech, but not this time), he left a quarter of an hour before the bomb went off. As a German resistance member, Elser fell through all the cracks initially post-war, too communist for the Christians, too Christian for the communists, not a member of a movement or group, but a somewhat naive loner, there were rumors that his assassination attempt was staged by the Nazis or that he was a Russian or British agent (the Nazis went mad when they realized that even under torture Elser could not point to people who had helped him, he was utterly alone in his plan). He has been deservedly reappreciated in the last few decades as a man who "just did what felt right".