In the "Partner Assigment" tab, all the informations are related to partners/resellers, configured also in CRM under Configuration->Resellers. The Activation field, would perhaps be better named actuation, or reseller actuation, e.g. Odoo community, Odoo enterprise, etc, in the case of Odoo.

So this field has no relation to the publication on the website, and the information contained in this field does not appear online either. To publish the partner/contact online you have to select the "go to website" button in the contact form, and activate "published" as for publishing a page on the website or a product in the webshop, and the contact will be by default published on the "/partners" page.

The activation field can also be used to filter or group contacts by.