I forgot to register after the first 10k posted - and had two nights afterward, bummer. I have not found out if that works again, but assume so, it would not make sense otherwise from program logic.
It would make me feel better if they only post once because of the missed two nights, but of course even better if they did.
And speaking about using this promos just for point hunting: Yes, they hand out 10k but if multiple getting this promo are possible, it will mean more business for HI, because I will be doing 3 planned stays then instead with them.