I'm experiencing false consciousness when I think it is Wednesday, when it is, in fact, Thursday, as I have a false belief about the world.

So until your beliefs change, you'll never say you personally have "false consciousness". Simultaneously, it'll appear to you that others (say, who insist it is Thursday) are the ones with "false consciousness". In fact, even if your beliefs change, you'll still never say you have "false consciousness", as the belief that was false has been changed. So you had "false consciousness* in the past (when you believed it was Wednesday). At the same time, according to your past self (and others with that belief), present-you has "false consciousness".