Based on normal logical analysis, whether it is the Snow Mountain Sect or the Twin Swords of Black and White, after confirming that Ah Zhong was taken away by Ding Bu San, the first thought is definitely to go to the other's lair.
Even though the person they took might not necessarily return home, when there are no better options, this is indeed the most likely possibility.
If they miss this opportunity, they might end up like a joke made famous in the martial arts world, in which "the strongest master in a sect deploys their vast resources and painstakingly searches for a decade, only to find the person they're looking for has been at home all along."
Therefore, although Ding Bu San might not go home, both groups would definitely take the effort to check.
The purpose of Ye Weiming contacting Li Wanjie was to exchange some costs to get the specific location of Ding Bu San's lair.