I have now installed iControl WP (for managing plugins, themes, etc.) on all my three sites on which I am already using CP (beside those still on WP).
I am glad to report that everything has worked fine - iControl WP as well as the WordpDrive backups.
Since the installation also allows for enabling Shield Security as the same time, it seems to offer a quite comprehensive solution for a variety of functions. And other discussions on this forum have shown that there is definitely an intent to support CP.