Script to delete paths

I think this should do it. Good luck!

#target illustrator
// it's best practice to wrap everything in a function
//   so that you don't accidentally mess up any global
//   variables
function RemoveNoStrokePaths() {
  // if there are no documents open then return, otherwise
  //   store a reference to the active document in 'doc'
  if( !app.documents.length ) return;
  var doc = app.activeDocument;
  
  // store a reference to all the PathItems in the active document
  var paths = doc.pathItems;
  
  // Since we might be removing items from the list, the item indices
  //   could change, and so should loop from the last index to the first
  for( var i = paths.length-1; i >= 0; i-- ) {
     
     // get reference to the current PathItem
     var curPath = paths;
     
     // if the PathItem has a stroke assigned, the 'stroked' property
     //   will equal 'true', so if it's false we know that the path
     //   doesn't have a stroke and we can remove it
     if( !curPath.stroked )
          curPath.remove();
   }
}
RemoveNoStrokePaths();