Hi Viktor,
The left/right padding of the first container is set to 0 on the tablet view, which will be inherited by the mobile view.
https://www.screencast.com/t/lBccG5grRRZ
And the other containers do have left/right padding set:
https://www.screencast.com/t/qMpYHUC21
How can I set the padding for all containers to 0 so I can set the padding for all containers in generate blocks?
Based on your design, your current setting is the right way to go, but you have to configure each container.
If you have GB pro plugin, you can create a global style with a set of paddings, then you can apply it to each container.