I think that whether tls-auth protects you against CCS Injection will hinge not on the HMAC but on tls-auth's replay protection. An attacker can always replay a previously-sniffed CCS packet with a valid HMAC, so it all comes down to whether that replay will be properly discarded.
OpenVPN does a pretty good job, as long as you choose a sane configuration (most importantly, use tls-auth and TLS key negotiation). It's definitely less vulnerable than other TLS stuff due to the tls-auth option.
(Full disclosure: my company provides the hardened OpenVPN-NL, and I've done a little work on that.)