I may have this wrong, but chickens are really only one of 2 colors Black and Red. The patterns over lay the COLOR. So it sounds like your pullets/hens all are mostly black based so probably yes you will always get mostly black chicks.
I am trying to thin my flock and I want to get rid of my EE roo and just use an Ameraucana, but the fun of EE is the colors and I think my Ameraucanas will KILL that and just throw me solid colors. I have one EE roo about 2 months old, Black and white, thinking he will be that columbian looking type EE roo, like I had. But I also don't want to part with an Ameraucanas Roo. I like my roos. Not sure any of my pullets will really throw multi color chicks either. Maybe a Wheaten Am roo would help IDK
We used a Wheaten Ameracauna over our EE and still got many of the expected EE colors, which we like also. Then we used a Blue Wheaten Ameracauna over the same EE hens and got a lot of the EE colors only with blue highlights really lovely birds. The Ameracauna roosters added size to the EE's plus aided with the beards.