Hey Pieter,

Here's a Custom Action script for Web Client 11 that should do most to all of what you want. @████████because we were discussing this the other day. Credit and thanks to @████████for writing said script.

Result looks like:

// v11
var includeWithinCurrentFolder = true;
var hideAll = false;
if (typeof window.qsearchDisabled == 'undefined') {
  window.qsearchDisabled = true;
  
  fixQuickSearch();      
  
  $('div.searchInputDiv').click(fixQuickSearch);
  $('div.quickSearchFilters').click(fixQuickSearch);
  
  
}
return false;
function fixQuickSearch() {
  setTimeout(function() {
      let start = 1;  
      
        // Is there at least one custom search? 
        if ($('select[ng-model="currentCustomFilter"] option').length>1) {
            // select first if no thing is selected
            if (!$('select[ng-model="currentCustomFilter"]').val()) {
                $('select[ng-model="currentCustomFilter"] option:eq(1)').prop('selected', true);
            }
            
            hideAll = true; // Hide all and keep first basic search
        } else {
            hideAll = false; // Otherwise 
        }  
      
      if (hideAll) {
          start = 0;
      } else {
          // Make sure first basic search is selected
          if (!$('#basicSearchSearchTextQuickSearch').is(':checked')) {
              // otherwise select it
              // $('a[ng-if="searchType"]:eq(1)').parent().click();
              $('#basicSearchSearchTextQuickSearch').click();
              $('lf-basic-search').find('input[type="checkbox"]:first').parent().show();
          }
      }
      
      // Within current folder
      if (includeWithinCurrentFolder) {
          $('lf-within-folder-search select').val("string:2").change(); // enitre repo
          $('lf-within-folder-search').hide();    
      }
      
      // Other basic search 
      for(let i=start; i<=4; i++) {
          if ($('lf-basic-search').find('input[type="checkbox"]:eq('+i+')').is(':checked')) {
            $('lf-basic-search').find('input[type="checkbox"]:eq('+i+')').click(); // unselect
          }
        $('lf-basic-search').find('input[type="checkbox"]:eq('+i+')').parent().hide();
      }
      
      // Date
      $('lf-date-search-quick select').val('string:Anytime').change();
      $('lf-date-search-quick').hide();
      // Template
      $('lf-field-template-search').hide();
      
      // if (includeWithinCurrentFolder || hideAll) $('.quickSearchOptionMenu li.divider:first').hide();
      // if (includeWithinCurrentFolder && hideAll) $('.quickSearchOptionMenu li.divider:eq(1)').hide();
  }, 1000); 
    
}

I understand we might be getting a more official UI to configure search defaults in a future release of Web Client 11.