Nintendo appears to be removing support for Netflix on the Wii, potentially alongside whatever remains of the console's video streaming services, by early 2019.
In a post to Reddit yesterday, a user shared an email they received from Netflix regarding its discontinuation on the platform:

"Unfortunately, Nintendo will suspend all video streaming services on Wii-including the Netflix Channel-after January 31, 2019," the email reportedly read. "We hope you'll soon enjoy an even better Netflix experience with additional features on a supported device. Please visit netflix.com/wii for our device list."

https://www.gamesindustry.biz/articl...-wii-next-year