I think most people would say Wuling Farm for the one on Highway 7a you take from Yilan. The farm is actually part of Taichung City. There is not much else than the farm to talk about, and perhaps the trailhead for hiking Mt. Snow.
The other Wuling is also referred to as Wuling Pass, cause it’s the highest point of any highway in Taiwan. This one is actually in Nantou County on Highway 14a. So if someone says Wuling, I think it’s more likely that Wuling Pass is meant.
Btw. if driving between Taipei and Qingjing, it’s more likely that people will take freeways 3 and 6 to get to Puli and then take Highway 14. You won’t pass the two Wuling’s this way.