Usually there is a dream stage in REM sleep, and I haven't had any memorable dreams for a couple of weeks anyway. I've had some pretty good insomnia issues, at best waking up every couple of hours.
Something that came out of the sleep apnea study is the nifty nudge that I don't go into REM sleep until quite late in the sleep cycle, like a couple of hours before my normal wake-up time.
REM sleep is important. It's the time that your brain sorts stuff out, ships stuff into long-term memory, pays its overdue bills and cleans out the bottom of the refrigerator. Lacking REM sleep means that there's a lot of mental clutter, stuff gets forgotten and blurry, and you get that thinking-through-Jell-O feeling.