In the FEI map (and likely the others, too) there are regions that only get partly covered. Apelen and Batesaor, for instance, only have their southern tips covered. Will those regions still be completely inaccessible?
First off, please do note that it's a rough estimate. Depending on the density situation, they may end up frozen, or they may not.
That said, as you will begin to see over the next couple of days, there are a few stages of freezing, and while most of the "frozen" regions will be completely inaccessible, the outermost layer will be regions you can travel through, but not own, with no peasants living there.