Although Li, the wealthiest man, has minimal contact with these secretive individuals, he's astute enough to recognize Mu Tingyu's distinct aloofness, and he instinctively realized that this man must have come from that place.
People from that place garnered nothing but his respect; he dared not to offend them in any way.
Immediately smiling in response, Li said, "Not at all. We're indeed unaware. Esteemed guests, please, step inside! Please, do come in!"
As for Ye Cunxi, seeing the icy demeanor of Hall Masters had become commonplace to him, and he had firsthand experiences of their profound mystery and intrigue.
Although it was his first time meeting Mu Tingyu, Tingyu's demeanor was strikingly similar to that of a Hall Master. This led him to believe that Tingyu bore the same characteristics as a Hall Master, averse to mingling with the outside world.
So he wasn't particularly troubled when Mu Tingyu chose not to shake hands with them.