Getting WP Super Cache to work on localhost with HTTPS

Working on a localhost version of my https live site.

Trying to test it [Test Cache] with the feature with my live sites certificate I get the error

Fetching http://localhost/mysite/ to prime cache: FAILED
Errors: : cURL error 60: SSL certificate problem: unable to get local issuer certificate

Trying it with a self-signed certificate OpenSSL and cacert.pem in a properly configured localhost WAMP configuration I get the error:

Fetching http://localhost/mysite/ to prime cache: FAILED
Errors: : cURL error 60: SSL certificate problem: self signed certificate

I even tried disabling SSL verification off in the WordPress init

add_action( 'init', 'sslfalse' );

function sslfalse() {
$ch = curl_init();
curl_setopt($ch, CURLOPT_SSL_VERIFYPEER, false);
}

And I still get the same error regardless.

Is there a way to get WP Super Cache to work on localhost along with HTTPS?