Stayed at this hotel one night with my gf two weeks ago, as we needed to stay close to CPH in order to catch an early flight.
The Platinum arrival gift was two drink vouchers (including snacks) in the Sky bar. We managed to get two glasses of Barolo priced at 135DKK/20 USD each on the vouchers (plus the snacks), so it was definitely a very expensive arrival gift, compared to what I am usually offered in properties in Latin America and Caribbean.

My rate included breakfast which was served in the smaller of the two restaurants. Felt very exclusive as the bigger one was packed with cruise guests already by 6.30.

The rooms have already been described thoroughly above and I have not much new to add, so my data entry is really that you should definitely go for the Barolo rather than the 250 points as arrival gift, especially if you like a good wine.