Well, Natasha was a brunette for several years, and she wore the costume in this story. Well, actually she started out as a non-costumed spy, a kind of Bond girl type character. Then she got the costume, then she defected to the US, and THEN they "revealed" that she was a red-head who dyed her hair, and she got the bodysuit costume...
So yeah, this is a throwback to the first version of Tasha.