Show a link to the profile user's author post archive on the Member Profile page.

link_to_author_archive_pmpro_member_profile_after.php

<?php
/*
 * Show a link to the profile user's author post archive on the Member Profile page.
 *
 * You can add this recipe to your site by creating a custom plugin
 * or using the Code Snippets plugin available for free in the WordPress repository.
 * Read this companion article for step-by-step directions on either method.
 * https://www.paidmembershipspro.com/create-a-plugin-for-pmpro-customizations/ 
 */ 
function link_to_author_archive_pmpro_member_profile_after( $pu ) {
	// Get a count of the profile user's published posts.
	$author_posts_count = count_user_posts( $pu->ID, 'post', true );

	// If no posts found, return nothing.
	if ( empty( $author_posts_count ) ) {
		return;
	}

	// Get the profile user's author post archive URL.
	$author_posts_url = get_author_posts_url( $pu->ID );

	// If no link found, return nothing.
	if ( empty( $author_posts_url ) ) {
		return;
	}

	// Show a link to the profile user's posts.
	echo '<p class="pmpro_member_directory_author_posts_url">';
	printf(
		'<a class="author-link" href="%1$s" rel="author">%2$s</a>',
		esc_url( $author_posts_url ),
		sprintf(
			/* translators: %s: Author name. */
			esc_html__( 'View all of %s\'s posts.', 'pmpro-customizations' ),
			$pu->display_name
		)
	);
	echo '</p>';
}
add_action( 'pmpro_member_profile_after', 'link_to_author_archive_pmpro_member_profile_after' );

This code doesn't work correctly. It shows always the first WordPress user.
Here is a correction :

function link_to_author_archive_pmpro_member_profile_after( $pu ) {
// Get the profile user's author post archive URL.
$author_posts_url = get_author_posts_url( $pu->ID );

// If no link found, return nothing.
if ( empty( $author_posts_url ) ) {
	return;
}

// Show a link to the profile user's posts.
echo '<p class="pmpro_member_directory_author_posts_url">';
printf(
	'<a class="author-link" href="%1$s" rel="author">%2$s</a>',
	esc_url( $author_posts_url ),
	sprintf(
		/* translators: %s: Author name. */
		esc_html__( 'View the member\'s posts.', 'pmpro-customizations' )
	)
);
echo '</p>';

}
add_action( 'pmpro_member_profile_after', 'link_to_author_archive_pmpro_member_profile_after' );

Thank you - I have updated the recipe and now also check whether there are no posts by the user before displaying the link.