Best way to play Rogue Squadron II? Kaico HDMI Gamecube or Autoutlet for Wii

I'm really keen to play Rogue Squadron II and Rebel Strike but unsure on the best way to play these days. I've done some research and have come across a few good ways with adapters. Gamecube has the kaico HDMI adapter, and the Wii has the Autoutlet HDMI adapter. I've watched a few videos online about both, but I'm undecided on which to get. Both can be an option for me as I have both consoles. However, I'm not open to buying the retrotink or carby. Those are well out of my price range for what I want at the moment.

If anyone has any experience with playing with either of these ways, I would appreciate any help with deciding which would be the best option. I just want a smooth way to play these great games again with a nice clean image quality. I'm planning on playing on a 120-inch 4K projector (if it makes any difference than a TV). I've tried emulating, and these games are a nightmare to get running well, so I'm just exploring my options with these adapters. Cheers