The space between the left turn lane and through lane isn’t an emergency lane. It’s a virtual traffic island or gore area, which in this case happens to be painted with chevrons to discourage travel within it. Often, these virtual gore areas aren’t suitable for cutting across in a vehicle, because you’d run into debris, a paved drainage ditch, or other obstacles within it.
This abandoned proposal summarizes the attempts to define a tagging scheme for these virtual gore areas. This JOSM lane plugin supports an undocumented and seldom used width:dividers key, which allows you to maintain a single carriageway. I’m sympathetic to these attempts, because in some regions, gore areas are signposted as part of the intersection’s lane layout, yet a separate link way prevents routers from knowing that the lanes are related. At the same time, as I mentioned before, tags on a way are pretty bad at encoding geometry.