Bees do not need pollen to survive the winter. They use it to feed brood. They will store it in the fall so that they have it ready for when they start raising brood before the flowers start to bloom.
I know that where you are you probably do not have a lot of SHBs but if you have any, the beetles will lay their in the pollen and then you could have thousands of larvae in your hive.
Here in the south, if we have to feed pollen parties, we can only give them a one inch square piece at a time and if they do not eat it right away, we have to remove it within a couple of days.
Jim