Weebly's Blog & Commenting Function

In order to publish articles with a commenting section on Weebly sites, you have to open up a new page with the blog option explicitly set!

When you create a new page you'll be presented with this option block (see screenshot).

Choose Blog Page here and you'll get blog posts with a comment section as defined in the settings menu.

That's all it takes if you prefer Weebly's default option. Which I do because it's free.