Yes, but you could (and can) still buy games on the Wii Shop and you can re-download games you've already purchased. Until January 2019, at least.
Oh, I don't have a Wii so I didn't know. I thought the shop used the same servers as the online gameplay (as it was said that online gameplay shut down because the company hosting the Wii's servers ended the contract or something)
- - - Post Merge - - -
Nintendo officially declared they will support the 3ds past 2018, so don't worry about that now.man, that's unfortunate. i really hope the 3DS and its features doesn't get discontinued for a LONG time. there are plenty of people that still play it, and i plan on still playing it in the future.