[Plugin: Posts 2 Posts] Page with more than one parent

I can create page to page connections using

function my_connection_types() {
	// Make sure the Posts 2 Posts plugin is active.
	if ( !function_exists( 'p2p_register_connection_type' ) )
		return;

	p2p_register_connection_type( array(
		'name' => 'pages_to_pages',
		'from' => 'page',
		'to' => 'page'
	) );
}
add_action( 'wp_loaded', 'my_connection_types' );

It creates two sidebar boxes in the page editor: from pages and to pages. What I wonder about here is A)Does this mean I can now load permalinks with different page parents for ONE child or how can that be achieved now that I made this connection? and B)Why do I see a from page and two page box now instead of one using the sample at https://github.com/scribu/wp-posts-to-posts/wiki/Basic-usage ?

See also similar discussion here: http://wordpress.stackexchange.com/questions/8848/one-page-multiple-parents

Does that mean you CAN connect one child page to two parents? Wondering if I can use this in some way to load a child page’s content under different parents without recreating the same child page again and again using a different name..

Thanks so far Scribu!
So let’s say I have

• regular (parent) – tarifs (child)
• reference (parent) – tarifs (same child)
• professionals (parent) – tarifs (same child)

I can add tarifs to these three pages as in FROM pages, making them parents?

But then I would still have the permalink issue. Using %postname% now, which is supposed to work, but still having issues.