i don't think so.
but i have figured out the mechanism. the link leads to random.org and simply generates a random number.
so we could adapt the method.
but do we really want to do so?
eg some factions are banned from cardboard tournament play but are included in that setup (eg Dancer).
and it seems to be made for experienced NH players who know all the factions well and own them and have played with them.
i think we should aim for a low profile double elimination tourney (on Challonge) instead.
we could give players total freedom for choice of factions.
or we could limit choice of factions (eg play with each faction only once).
why in the first place should choice of factions be limited?