I just took our 2013 MS85 to a Supercharger for the first time since June with some pretty good results. I was picking up my wife at LAX and wanted to try out the V2 stalls in Redondo Beach early Sunday morning, but by the time I got within 30 miles the on-board navigation said there was only 1/8 available so I knew I wasn't likely to get an unpaired stall. I opted to charge at the 72kW Urban stalls at Manhattan Beach and the navigation said there were 6/12 available. I arrived with 50 miles of range remaining and I was 2nd in line for the next available stall. After waiting 6 minutes, I was able to plug in and saw the charging speed hold at 72kW.
As I had breakfast at the Corner Bakery, I was monitoring the charging via mobile app and noticed it started to taper down to 71kW at 94 range miles (38%) and 50kW at 142 range miles (58%). I was able to get from 50 to 197 range miles (21% to 81%) after 40 minutes of charging which is not too bad. I thought the new Supercharging experience was going to be bad because the last time two times I tried V2 stalls with a low SOC%, I never got above 42kW. I was never clear if it was my car (hardware or software) or the Supercharger hardware. Charging is slightly worse than chart from ABRP:
Another observation was the front radiator fans were humming when I got back to my car while it was Supercharging. 2 miles later I'm driving in gridlock through the Sepulveda tunnel and I hear a loud droning noise that sounded like a street cleaner truck. I wondered if the tunnel had ventilation fans, but I soon realized that droning noise was the fans from my Tesla. I think Tesla is very concerned about thermal management with the older battery packs and made some changes through software.
BTW, my HVAC was off, ambient temp was 70F, and I don't drive the car hard (lifetime 302Wh/mi).