Hi Jooobs
It is the weekend and official support is closed until 10AM UK time tomorrow. But I am here waiting for a sports match to start on TV in 5 minutes. The behaviour you describe is normal in that by placing a search form and results section on a page, the WordPress ‘loop’ will run and display unfiltered total posts.
Second, as you are using the Shortcode display method, this will use the (customizable) results.php template that is included with our plugin, and not your theme’s templates.
It is possible to modify the results.php template, as described here.
I will help you get to where you want, and it IS possible to make it so that on an unfiltered page, no results are shown. It is also possible to show a grid, depending on how you theme normally does this. This post might guide you whilst we are offline:
https://support.searchandfilter.com/forums/topic/is-it-possible-to-start-the-search-form-with-no-results/#post-79193