If the wallbox has a WLAN module and WLAN is available on site, that also works. Since WLAN distribution often has its peculiarities, I am a fan of LAN. When you are just laying cables, LAN often just comes along easily. I would not connect the wallbox to the internet, but only to the home network. You can retrieve the charge status and statistics and make settings. Of course, it also depends on the type of wallbox.