My Wii has GameCube controller ports, and I use the controllers that I linked below. They’re a little “clicky”, and stiff, but they do the job and I didn’t notice any input lag.
I have used the adapter linked below that to use the same controllers on a Switch. This set-up will also work on a Wii U.
The link below that is in case you need cable extensions. I did.
Gamecube Controller, CIPON Wired... https://www.amazon.com/dp/B07BS5TXBF?ref=ppx_pop_mob_ap_share
Switch Gamecube Controller... https://www.amazon.com/dp/B07NVQNFGK?ref=ppx_pop_mob_ap_share
Coolayoung Pack of 2 Controller... https://www.amazon.com/dp/B07Q765LP4?ref=ppx_pop_mob_ap_share