If the Wall Direction is set to Left or Right, door icons persist when changing the door status (open/closed, locked/unlocked). This occurs regardless is the door is secret or not.
Wall Settings:
If the Wall Direction is set to Left or Right, door icons persist when changing the door status (open/closed, locked/unlocked). This occurs regardless is the door is secret or not.

Wall Settings:

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If the Wall Direction is set to Left or Right, door icons persist when changing the door status (open/closed, locked/unlocked). This occurs regardless is the door is secret or not.

Wall Settings:

This is a bug in the Foundryvtt core software. Please report it at the Foundryvtt bug tracker.