KeylorCR

<?php
function wc_removing_customer_details_in_emails($order, $sent_to_admin, $plain_text, $email) {
	if ($order->has_shipping_method('wc_pickup_store')) {
		$mailer = WC()->mailer();
		remove_action( 'woocommerce_email_customer_details', array( $mailer, 'email_addresses' ), 20, 3 );
	}
}
add_action('woocommerce_email_customer_details', 'wc_removing_customer_details_in_emails', 5, 4);