That game does have pretty good netcode, but it cannot do everything. If the Wi-Fi connection drops packets there are bound to be problems even with low ping. Not every Wi-Fi setup is the same and it also depends on your surroundings like the physical distance between devices and how much interference.

Sometimes the issue is only visible for one player. If you can, absolutely do use a wired connection. It will undoubtedly be better even with a good Wi-Fi setup.