Do not update user's first and last name while on the PMPro Checkout page. Useful if you do not want the user's billing name to be the name on the account.

my_pmpro_prevent_name_save_at_checkout.php

<?php

// Copy from below here.

/**
 * Do not update user's first and last name while on the PMPro Checkout page.
 * Useful if you do not want the user's billing name to be the name on the account.
 */
function my_pmpro_prevent_name_save_at_checkout( $check, $object_id, $meta_key ) {
	if ( $meta_key === 'first_name' || $meta_key === 'last_name' ) {
		if ( function_exists( 'pmpro_is_checkout' ) && pmpro_is_checkout() ) {
			return false; // Do not update user meta.
		}
	}
	return $check;
}
add_filter( 'update_user_metadata', 'my_pmpro_prevent_name_save_at_checkout', 10, 3 );