UPDATE:

we investigated a bit and we found the reason of the problem. This is due to the way the Joomla routing works for articles linked to a tags view and the feature 'Mobile home page' used on mobile.
Indeed the articles under the tags list are all routed to the home page, the Joomla tags component doesn't append the menu item alias. As a result they are routed accordingly to the mobile home page, recognized as home links.

A quick workaround is linking the categories containing the articles to proper Joomla menu items using for example a view 'Category blog' or 'Category list'.
This is also reflected in the tags list properly routing the links for articles.