Dequeue cf7 JavaScript and reCaptcha scripts and preventing them from loading everywhere.

cf7_recaptcha.php

<?php

function my_register_cf7_js() {
    // Dequeue cf7 and recaptcha scripts, preventing them from loading everywhere
    add_filter( 'wpcf7_load_js', '__return_false' ); // Might as well use their filter
    wp_dequeue_script( 'google-recaptcha' );

    // If current post has cf7 shortcode, enqueue!
    global $post;
    if ( isset( $post->post_content ) AND has_shortcode( $post->post_content, 'contact-form-7' ) ) {
        if ( function_exists( 'wpcf7_enqueue_scripts' ) ) {
            wpcf7_enqueue_scripts();
            wp_enqueue_script( 'google-recaptcha' );
        }
    }
}
add_action( 'wp_enqueue_scripts', 'my_register_cf7_js' );