I think you'll need to try again after you get some more sleep, that link doesn't even mention a left turn lane, it seems like it's talking about a road called Suicide Lane because there were 88 accidents there in 11 months, but no evidence that there was a "suicide lane" there that caused 88 accidents.
Searching for "suicide lane" accident studies gets me articles like this one where apparently the "correct" thing to do is to never allow anyone to ever turn left again because some old woman turned left without checking for oncoming traffic. Likewise "Police and engineers often deride such lanes as 'suicide lanes,' not so much because cars might collide head-on, but because they allow people to cross traffic anywhere." I guess walling off left turns forever resolves my question of whether having the turning lane is safer than having people stop in the "fast" left lane to turn left, though if you're going to go to the expense of installing a wall on a 7 lane road, you might as well give up and upgrade it to a ramp-access freeway with service/frontage roads and underpasses to get to the other side.
The more professional terms "bidirectional left turn lane" or "two way left turn lane/TWLTL" gets a few actual studies. This study says that it's hard to determine if raised medians actually stop wrecks compared to TWLTL or if they move them to the cross streets where people are trying to go around the median to get to the other side. It suggests that raised medians are appropriate for residential sections (like your picture) rather than commercial sections, and feedback from people and companies on proposed median treatments seems to mirror that, with business developers preferring two way left turn lanes to raised medians, and residential developers and residents preferring wide, landscaped medians to both TWLTL and small concrete medians. This study from the '70s likewise suggests that TWLTL are recommended for commercial development. I did find this study where someone complained TWLTLs are scary, which amused me since apparently "scary" is a reason to erase all the lines from the road, but also a reason to not allow people to turn left.
If I had to go around a raised median every day I left my house, I too would demand it to be a very wide landscaped median, so I could actually U-turn around it without having to execute a 3 point turn (this study recommends to plan for a 48 foot turning radius for passenger cars, like turning from an 11' lane around a 22' median with two 11' lanes on the other side ). I'm afraid the street you've got in your photo is just irredeemably fucked. Add frequent speed humps and set the speed limit to 15 MPH with active enforcement by a local sheriff hired with neighborhood association dues to convince through traffic to find some other way around.