WOOF Category search filter in Home Page

I have difficulty to understand a strange behavior in WordPress + Woocommerce, and specifically in category search. It seems that the engine behaves differently in the Home Page and in an internal page and I don’t understand where the “catch” is.
The Home Page of the site is mainly composed of the list of Woocommerce articles with two filters: textual + category. If I carry out the text search, it returns the same Home Page with the articles filtered. If I apply a filter on the category, instead, it seems that everything is redirected to another page with a more sparse layout even if the url remains the same. The discriminating element is the “product_cat” parameter in url.
If I clone the Home Page, this problem no longer exists in the new page. I apply the filter and the system returns the correct page. It seems that somewhere there is something like “if (Home Page && product_cat) go to another module” but I can’t understand where.
I use WordPress 5.4.1–it, BeTheme 21.7.4 (licenseed) with SHOES Layout + Woocommerce 4.2.0 + WOOF – WooCommerce Products Filter.
The site is https://barpiadineriamarilyn.compradanoi.it/ and for now I have solved it by setting a redirect from the Home Page to the internal page but this solution does not drive me crazy.

I attach explanatory images (I hope)

Home Page Before the filter
The Home Page after the filter
The cloned page before the filter
The cloned page after the filter

The page I need help with: [log in to see the link]