Personally, I like double cords (I mean drilled cords, except that you drill two strands of the same length and treat them as one when halved and allowed to unwind) - they are smoother than regular drilled cords and look somewhat like fingerloop braids. Don't know if drilled cords are period, however.
I'm always in doubt about the stability of lucet cords - I tried the technique once - you just need to have the yarn severely damaged at one point and poof, it's going to get all undone. So I somehow doubt it would really have been used for lacings - but I'd really like to know the facts.

Greetings, Gea