On the credit card nights, I believe the answer is yes.

When I first made platinum, if I recall correctly, I went back and did the math at the time, and the previous year's credit card nights had to have been factored into the rolling 12 months for me to have made it on that date.

I have no idea on the double nights, but if they do it on the CC nights, maybe they do it on the double nights, as well, since they both show up as "bonus nights."

I don't believe the reps on the phone see the posting dates of the credit card nights, though, so if you called and asked how far you were from platinum, they would not factor that in when they count it up and tell you.

It's possible that my memory on this is incorrect, but I'm pretty sure I came to the conclusion that they had to have been counted for me to have made it on the date that I did.