German quote from an old podcast: Konsequenz heißt auch Holzwege zuende gehen.
Rough translation: Being consequent means also following the wrong path to the end.
It’s used for people or organisations that tend to stick to a decision to the end, even if that decision was obviously flawed. E.g. sticking to extremely stick to a regulation even if it’s outdated/was dumb from the beginning. Corporate password policies are a good example.