Hi Frank,

To begin, I want to extend my heartfelt apologies for the delayed reply, 

which is due to our Holiday break here in Serbia.
We truly value your patience during this period.

In regard to your use case :

Sorry to disappoint you, but at this time, we don't have any built-in solution to achieve the scenario you described, such as to keep the filters active when redirecting/returning to a page/or refreshing the Page.
Any action such as that is going to clear all the filters and return the table to its default state.

You can suggest it to our developers, though - they will do their best to make a solution in the future.

Please feel free to search on our suggestions page, 

 to see if someone may be already suggested this feature. If you can't see it, feel free to add your suggestion there,  and as more people vote, the feature will move higher on the priority list.

You can certainly follow our changeLog page if you'd like ( it is also available in the plugin dashboard), where we state any changes/new features/bug fixes during updates;

and our newsletter, so you're informed about new features, bug fixes, freebies, etc.

-

If you have coding skills and wish to try to make a custom solution now,

you can check out our available hooks for Developers on this documentation and see if you can find any hook that might help.

We also added this new developer's handbook, which can allow users with coding skills to make custom add-ons.

Our developers will keep adding more custom hooks/examples there over time.

-

Please be advised that custom solutions with hooks are not included in our support.

You can also research resources such as Stack Overflow to see if any other user perhaps found a workaround.

( We do like to give examples for certain solutions, but for this use-case, we, unfortunately, don't have anything yet)

The closest example I found is this one, basically, there is a custom way to 'save selected filters as a table view'.

This bit of custom js will update the browser url (without triggering a reload) to reflect which values have been entered in filters, thereby generating a direct link to the current 'view'. Note this only works for separate filter forms, but should only need a couple of tweaks to do a version for the simple in-table filter boxes ...

jQuery(window).load(function(){
  wpDataTables.table_1.addOnDrawCallback(function(){
    var params={};
    jQuery('.wpDataTableFilterSection').each(function(i, obj) {
      if ( inputbox = obj.id.match("table_1_(.+)_filter_sections") ) {
        if (jQuery(obj).find('input').val()) {
          var key='wdt_column_filter['+inputbox[1]+']';
          params[key] = jQuery(obj).find('input').val();
        }
      }
    }); 
    history.pushState('','','?'+jQuery.param(params));
  });
});

I hope it helps.