This question was marked as a duplicate of another, but I'm trying to ask a different question that is not addressed. Please keep reading.
The other question asks whether or not the Others can simply swim or sail around the wall. I argue this is a moot point, since by latitude and geography, I can't imagine the Bay of Ice doesn't simply freeze over in the winter. Is there any canon mention of this one way or the other?
If it does freeze, the Others could just walk south from the Frozen Shore to the Wolfswood and Deepwood Motte, completely bypassing both the wall and the mountains.