I have tested validation to be used by ReCaptcha.
API uses link <script src='recaptcha/api.js'></script>

and the following name:

As there is any name inside input but only g-recaptcha-response it will be refused by validator as an error and official Google Id name will not work.
SyntaxError: missing : after property id

When I use different ID (_) it will not work like:
g_recaptcha_response: {
required: "Required field!.",

it uses
<script src='https://www.google.com/recaptcha/api.js'></script>

<div class="g-recaptcha" data-sitekey=""></div>

It means it will use updated version.