Your setups look very nice, and it seems like your snakes are well taken care of. I love the boa, he is gorgeous.
And also - "reduced" means reduced pattern, meaning simple without a lot of spots or busy patterns. I think that poster might have been referring to the 2 year old ball in the red circular hide. It's not a genetic "morph", but a variation in normal ball pythons, and some people prefer them to busier patterns. It's all up to personal preference though.