What are YOU talking about? The median can 100% be driven over (circled in red below), and the center part (again, circled in red) is entirely intended to stop in prior to merging.
The entire middle area is the median, which also contains protected left hand turns, a raised section, and what I assume is a painted median (maybe, maybe not, but again the circled portion). I am talking about stopping here, in the circled portion, prior to merging. You are supposed to stop there, assuming you aren’t towing or driving a longer-than-average vehicle, if you do not have visibility into the lane you are merging into.
The quoted text I have above specifically mentions a left hand turn onto a straightway WITH ANOTHER VEHICLE IN THE MEDIAN, so clearly they mean a median that allows driving through.
Edit: The predictable thing to do here, turning left with low visibility into the lane you are merging into due to obscuring traffic, is to yield to traffic coming from your left until you have: no traffic coming from the right, or someone from the right waves you through. You then stop in the middle, circled red portion until it is safe to complete your turn. You don’t just Hail Mary blindly drive from where you were initially stopped into the desired lane. That is how you cause an accident.