That's a game that kept me hooked more than a game should keep a human captive. I have it on Steam, I don't see any reason to burn some hours on it on the phone.
I played World of Goo on a PC and on a tablet back in the day, and I felt it's easier to control with a mouse, because you can't see the gooballs (which have to be placed pretty precisely) if your finger is over them. So, if you want to play it without a Netflix subscription, it's 12,49€ on Steam. Or 60€ for the Tomorrow Corporation Bundle, including WoG, Little Inferno, Human Resource Machine, 7 Billion Humans and The Captain.
I played World of Goo on Wii and while it was sort of a nice game to play sitting back, I'm not sure the Wii controller was the most natural thing to use.
Good Old Games has it DRM free
IIRC it was always DRM free (except on iOS/macOS/GPlay but that's part of the packaging)