hide widget after successful login?

sorry I’m afraid that this is not available at the moment.

One thing you can do is use something like the Enhanced Text Widget plugin (https://www.ads-software.com/plugins/enhanced-text-widget/) and the LWA shortcode (vs. using the widget LWA supplies) to only show the widget for anyone not logged in (and show the profile for those logged in). Something like:

<?php
if ( !is_user_logged_in() ) {
  echo do_shortcode("[login-with-ajax]");
} else {
  echo do_shortcode("[login-with-ajax profile_link='1']");
}
?>

thanks for sharing.