cristoslc

I encountered the same issue, and created a fork of the plugin which resolves it — available at https://github.com/cristoslc/wp-auto-save-remote-image

I was able to solve it by adding the following code block:

if ( '' != get_the_post_thumbnail() )
	return;

below the existing code block:

if ( !current_user_can('edit_post', $post_ID) )
	return;