It might be related to having better/deeper sleep. When you sleep deeper and don't have interruptions, you probably wouldn't remember your dreams. When you withdraw, your sleep quality decreases, leading to more interruptions/shallower sleep, creating more possibility to remember your dreams. Just my two cents, of course I'm no pro and just speculating.
I think it's important to understand that there are trade-offs, even if this is a very powerful treatment. I tend to vary between THC-assisted sleep anywhere from 25% to 100% of nights and the trade-off of reduced REM is totally worth it. I do find that extended periods of 100% assisted sleep tend to make my memory a little foggy and that taking a week off resets things.