Far lane?

That is not immediately obvious. It is referential to the speaker's point of view. If the speaker is driving in the center lane, neatest oncoming traffic, then it would mean the lane at the edge of the road. On the other hand, if the speaker is driving at the edge of the road, it would mean the center lane, nearest oncoming traffic.

The expression is ambiguous.

Most often it means the 'passing lane,' i.e. the extreme left lane of a road in countries where one drives on the right (most civilized countries on this planet).

Are you hoping to pick a fight?

He did write "most". He meant to exclude Australia and New Zealand, I imagine.

Thank you for possibly saving my arse, contrex. I think.

I don't know it to be the name for any specific traffic lane. I would say that it needs a prior reference in order to make the connection.

A: We were driving in the curb lane. Your mother was in the far lane.

That would make it the driving lane that was farthest from the curb lane.

A: We were driving in the median lane. Your mother was in the far lane.

That would make it the driving lane that possibly was the curb lane or the lane that was nearest the shoulder or ditch.