Weather stations with wind masts that are 6 … 10 m (20 … 33 ft) tall are typically road weather station installations.
Road weather stations are typically installed far away from the equator, in cold regions where lightning density is from low to moderate. Exceptions may include high-terrain roads where winter maintenance is critical, but there can be severe thunderstorms during the warm season.
If safety grounding is not required, as is the case with TN systems and solar power, you can make the decision of a lightning protection system based on perceived risks versus associated costs.
If the wind mast is in tropical or sub-tropical regions, it needs a lightning protection system.