The Wii Mini (RVL-201) has zero internet connectivity. It was released in 2012 (Canada) / 2013 (elsewhere) as a budget, offline-only model.
Removed Hardware
No Wi-Fi Module: The Broadcom wireless chip and antenna are physically absent.
No Ethernet Port: Cannot use a Wii LAN Adapter (USB ports are power-only).
No SD Card Slot: Removed along with GameCube controller/memory card ports.
What This Means
Cannot access Wii Shop Channel (closed anyway), Netflix, YouTube, or any online game modes.
Cannot receive system updates (stuck on final v4.3).
Only plays physical Wii/GameCube discs (GameCube backward compatibility requires separate controller/ports not present). Correction: Wii Mini lacks GameCube ports entirely.
Buy a standard Wii (RVL-001 or RVL-101) if you need any online functionality or GameCube support.