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I think the author assumes that all wordpress sites are simple blogs. Woocommerce alone powers 30% of e-commerce sites.

The author does list shopify in one if the alternatives whatever that means. WordPress is not just a blog but a platform.

What makes you think that? The word "blog" is nowhere in the article. It's clear to me they're talking about WP the platform.

wonder how one does a static e-commerce site.

Author here. Snipcart is one option for e-commerce for static sites.