They should be ok, If anything they should change the statement closing date to 1/15/17 or later in oreder to get CP ASAP. The only possible problem would be making the spends.
I was approved for the IHG on 9/14 and my spend by date is 1/6/2017
I confirm that you will earn 80,000 bonus points after you
spend $1,000 in the first 3 months from account opening.
You will also earn 5,000 bonus points after you add your
first authorized user and make your first purchase within
this same 3 month period. You are required to meet the
spending threshold by January 06, 2017.