There is no Wii System Menu version 4.4. The final official firmware Nintendo released for the Wii is Version 4.3 (June 21, 2010 in NA/EU; 2011 in JP/KR). If you're seeing "4.4," it's a misunderstanding—or a trap.
Stay on 4.3. Install Priiloader (brick protection, region-free, update blocker) and the Homebrew Channel. Do not seek "4.4"—it's fake, and often malware bait.