I used it for a few weeks without ever even trying to set up WiFi and everything was fine.
Then I found at that when you set up an LG washer for WiFi you can get reports in the app of water and energy use. I'd actually like that, so decided to give it WiFi access.
I then found out that the WM3400CW does in fact not have WiFi. I think it might be the only current LG washing machine that does not have WiFi.
I suspect that Consumer Reports got confused because it does have LG's "Smart Diagnosis" feature, which gives you diagnostic reports in the LG app.
The way "Smart Diagnosis" in the app works with the WM3400CW is that the washing machine sends the data to the app acoustically. Press the button sequence to start a diagnosis on the washing machine and it sounds very similar to an old analog modem. The app listens to that with your phone's microphone.