When checking out, it is common practice for hotels to take an impression of a guest's credit card. This process is done to ensure that any additional charges incurred during the stay, such as room service or damage to the room, can be billed to the guest if necessary.
Therefore, the statement "To make sure other charges to the room are covered, check-in staff should take an impression of the credit card when they check out" is True.
By taking an impression of the credit card, the hotel has a way to secure payment for any additional expenses that may arise after the guest has left the premises. This practice helps the hotel protect itself financially and ensures that guests are held responsible for any extra costs they may have incurred.