Yes. CDRouter can test Dynamic DNS clients running over https if the CPE can either be configured with a new root CA certificate or configured to skip certificate validation. To enable the DynDNS server to run in https mode, configure the following testvar:
testvar dynDnsTransport https
By default, CDRouter will use the server certificate
/usr/cdrouter/tests/members.dyndns.org.pem. This certificate is
a self-signed certificate signed by the root CA
/usr/cdrouter/tests/root.pem. In order to validate the server
certificate, the client must install the additional root CA.
Unfortunately, CDRouter can not test https://members.dyndns.org without requiring a new certificate CA since it is impossible for CDRouter to simulate the real https://members.dyndns.org using certificates from a trusted CA.