It’s important to maintain consistency amongst management team members in terms of the message being sent to staff or team members reporting to you.
However, where consistency can sometimes rear its ugly head is when certain members of the team choose to follow too closely to the rules and regulations as to be obstinate or unopen to change.
An example is attendance policy. If someone is consistently late, rather than immediately rushing to fire the person, a better approach would be to see if their commute is affected by the time they are scheduled. There may be some extraneous details that are causing this person to be late all the time.
Another example is an open door policy. Some people may claim to have an open door policy, but then refuse to meet with people after meetings or at times when an appointment is not possible. There needs to be a balance of flexibility and with rigidness; certainly a pop-in appointment shouldn’t be the norm, but it also shouldn’t be frowned upon.
Be careful when following rules to strictly (especially rules you have come up with on your own that are not company policy.)