Thanks Logan, that's interesting.
Those platforms you mentioned are all self-hosted, I believe. The fundamental argument I've found online is between Self-hosted and Hosted solutions (where the Hosting is either your own or belongs to the company/platform the website is built on).
However, seems to me so far that SEO depends on the elements of the website more than the platform used to create those elements (as long as the hosting basics like page load speed are acceptable).
I'll give Weebly a go and see how it performs.