Hotel/Motel burglary insurance covers you against the loss of most personal items if your accommodation is burglarized. This can be useful in the case that something from your hotel or motel room is taken while it left unattended.
What your card will cover will depend on the credit card provider. Typically, most hotel/motel burglary insurance will not cover cash, credit cards, travel documents, and similar items. You'll want to check the terms of your card's insurance so that you know what is and what isn't covered. This way you will not be surprised when you file a claim.
In order to be eligible, you'll want to make sure that you use the card offering the benefit to pay for the full cost of your room. You'll also want to keep in mind what you're leaving unattended so that you'll know what was actually stolen.