Sometimes dreaming and sometimes recalling doesn’t prove you always have a stream of consciousness. You have different sleep phases each night, some are entirely dream less. Large groups of your neurons sync up during NREM sleep, firing at the same time. I don’t see how consciousness can survive becoming basically a pendulum. People awoken during NREM in studies usually say they weren’t experiencing anything. Maybe they were and just didn’t remember, we can’t prove that, but it seems unlikely and it couldn’t be much of an experience while most of your brain is busy flashing on and off again like a flickering lightbulb.