It will only help if your boy is a dark layer...
But did you realize that crossing your cuckoo ladies to your black boy, that you will get sex linked chick... all the gals will be black and the boys will be cuckoo, hatched with a white spot on their heads.

You would then have to hatch the next generation to make your females cuckoo again with the darker egg color.
I should say... I think the speckled eggs are a lovely variation in the basket.
Regarding breeding black and blues... I will no longer be mingling the two colors... as cross breeding them is diminishing the color quality of BOTH in my opinion and experience. In other words... (in my Silkies I noticed it first but I'm SURE it carries over) The black becomes faded and not crisp looking. And the blue gets darker and darker (if you don't watch it). In my Marans the dark blue is still beautiful. But in my Silkies, it just makes for black and blue birds that you can BARELY tell apart.