My brain tells me to use a light meter.
Yes, some batteries' output lowers as they drain/age, and if the circuit is dependent on a certain voltage or current, this can throw things off. Using an actually voltmeter is better than relying on any device's built-in warning. However, using a meter is not foolproof either.
It's best to choose a type of battery that does maintain a certain spec as is wears. Some types are better at giving a constant output until they are spent, while others have a long and steady decline in output.
Also make a point to change batteries at regular intervals (they are not expensive, all things considered). Figuring out that interval is the hard part.