Will a thermostatic light bulb burn the boards

No.

According to the headline query, a thermostatic light bulb is a special type of light bulb whose temperature does not change significantly over time, hence the name "thermostatic". These bulbs are often used in applications where precise temperature control is required, such as laboratories and medical equipment. Because thermostatic bulbs generate less heat, they do not produce as much heat as regular bulbs and therefore do not pose a risk of overheating or burning materials such as wood panels.