Do I understand correctly that printing should only work via WLAN, i.e. at a wedding in nature or in a stable, no connection could be established and no photos printed?
WLAN is only established between the mobile phone and the printer! The printer also has a USB interface. A card reader is also integrated, so you can print directly from a memory card. If your camera is direct-print capable, the camera can also be connected directly to the camera for printing.