Correct! Which is why the females are the ones used in a sex-link cross. They will give the male offspring the barring gene, whereas if you used a pure Barred Plymouth Rock male in the cross, all the offspring would have 1 copy of the barring gene.
OK. Since there seems to be such an issue as to coloration. Let me explain something.
Barred Plymouth Rock males have a double-dose of barring. This makes them appear lighter than pullets. That male that you have is a black sex-link male. He only has ONE copy of the barring gene because...