I am afraid, that it is not entirely true. The narrative that badger are pests, and are available in huge numbers in China, just like rats, is not accurate. In fact, they raise them in farms, enclosed in cages, for their hair. I am sure they consume the meat as well, but the main purpose is to get the hair, to produce brushes (makeup, shaving, paint...).
And as everything in China, the animals are raised in awful conditions, killed in a very cruel way.
When you get something sourced from any animal in China, you can bet it was farm raised.
My source about Badger being a pest in China was Wikipedia. I have no way to validate it. I'm aware that PETA has pushed the story you have heard. I don't know if I can fully trust it either.