Have the cloak disabled when playing a game against a particular opponent. Or have the option available at the start of the game or tournament. Or have it as an option for cloaking on the settings page. Say as a third option, instead of the current two that now exsist. Or as a fourth option, uncloaked if viewing a game between you or the previous action was a move between you.
I believe I posted on the BrainKIng discussion board about feature request to be able to turn off seeing people's last action on the discussion boards. I'd like that as an option.