The page is always slow for me as well. Well the way nut server works is very different from Goldleaf's USB installation. Goldleaf requires you to select a nsp on the PC side, and then you have to confirm on the Switch to start the installation. You can only select one nsp at a time (at least in Goldtree, not sure about NS-USBLoader), and every time you have to confirm on the Switch. Nut server just lists all the games on your PC within Tinfoil itself and you can select what to install there, and it has a queue so you can add multiple games to install (or all of them)
It supports both USB and wifi. CFW doesn't matter, SX Installer (the separate download) is actually based on Tinfoil just with a custom theme, but it's not up to date.