Neither one! (At least, not specifically WIFIonICE.)
I suspect (from my understanding of what WIFIonICE is/does) is that the problem is that OpenVPN loses its connection and is unsuccessfully trying to reconnect thousands of times per second. That can sometimes be caused by a misconfiguration of OpenVPN, but not always.
The latest beta version of Tunnelblick has some changes that can mitigate this problem. Please try it. If the problem persists, please post the diagnostic info obtained by following the instructions at Read Before You Post.