Is your interpretation that the "outside" is the "escape lane" while the "inside" is usually the "racing line?"
As I read it, the "racing line" is what it says... the special line that moves between equidistant lanes to get the fastest route around the track, as a real car would.
As such, "escape lane" is not well defined as to if it is the "inner" or the "outer" lane of what is clearly a full circuit two lane track. Yes, the racing line shares the slot with both lanes, changing lane as needed to achieve the best line.
Considering that, and the quoted text, I will interpret it as this: When a car (in the racing line) gets close enough to another car (in the racing line), the following/chasing/passing car is switched OUT of the racing line. Whether that is the inside or the outside lane depends entirely on where the racing line is at the time of the attempted pass. If the following/chasing/passing car is able to pull up along side the other car, then they are BOTH stuck in their respective "escape lane". Again, which lane that is depends entirely on where the cars are on the circuit, regardless of if the lane is on the inside or outside of a turn. Only when the cars are no longer in danger of colliding will either car return to the racing line, and usually that means both cars will fall back into the racing line.
ok... I think I get it now.