It seems you are right. This video is somewhat outdated.
To get the effect you see in the video, you need to first right-click on console and toggle on ‘Show All Kernel Activity’. Then as you run the code in the notebook, it will show up in the console.
This is the text accompanying the video referenced in the documentation and it neglects pointing this out:
" You can connect a code console to a notebook kernel to have a log of computations done in the kernel, in the order in which they were done. The attached code console also provides a place to interactively inspect kernel state without changing the notebook. Right-click on a notebook and select “New Console for Notebook”"
Good news though @Heibear, you can fork the repo for the documentation and edit the text to better reflect the current needs and submit a pull request. That way you can help others not miss that toggle option.
And maybe in your pull request you can suggest the video be updated. A lot has changed in the UI as well since 2018 when that video was made, and so I bet a lot of the documentation videos need updating to better reflect the current state.