Compared to the dark area at the back, yes, I would suggest your chickens think the new boxes aren't "private"
enough.
What is the height and depth of each box? My birds have a strong preference for at least 14" deep vs 11" wide as that creates more shadows.
They also like the wood to be dark - either try that Japanese "burn the surface" treatment, or even just take some charcoal and rub the wood thoroughly?
I would be inclined to cover the back solidly, but I screw my backs on (I use 3-seaters) and make it easy to remove the whole group for cleaning and sun-sterilizing when needed.
Nest boxes that are attached together has not been a problem on my farm.