Of course. It’s satire, and it’s brilliant.
Werner Klemperer, whose family fled the Nazis, said he would take the role of Klink only if the character would never be allowed to succeed.
Interesting story about Robert Clary, who played LeBeau and was a concentration camp survivor: in the 1966 episode “Will The Real Adolf Please Stand Up”, Larry Hovis’ character of Carter impersonates Hitler (and rather well). As Carter/Hitler is introduced to the prisoners, he is given a Nazi salute. Clary’s salute is given with his left hand and with his fingers crossed.