I don't think you're following.
First, you are an account holder in my answer not an employee.
Second, the reason its an issue has nothing to do with the actual password or password security. Frequent changes lead to simpler passwords. Someone is likely just to increment a number, so a new password is barley a hindrance if the previous one is compromised. Frequent changes are going to lead to more password resets, service personnel who have to deal with people forgetting passwords due to frequent resets/ changes are more likely to be complacent allowing an attacker to gain access through a reset. For company based passwords, frequent changes and high complexity requirements are more likely to lead to someone writing a password down near where that password is used.