I've been having a few slower SuC sessions over the last month. I've got a 2013 MS85 and saw speeds up to ~106kW a month ago during a road trip. However, the last two sessions I did wouldn't go over 82kW. This morning was pretty cold at 38 degrees with the regen limited. I drove 20 miles to the SuC and plugged into an empty stall pair (5a with no one using 5b). It charged up to 72kW and quickly settled down to ~60kW. After 5 minutes, I decided to move to different empty stall pair, plugged it, and got 82kW within a minute. I charged for about 40 minutes and watched a few other Tesla owners pull into various stalls only to shuffle around after a few minutes. It made me wonder if the varying charging rate was due to stall/cabinet issues or if it's our cars.
I typically charge at home, but will SuC if there are >50% of the stalls available, the car is warmed up, and the SOC is below 25%. Maybe I'll try a different SuC lot; I'd be happy to see charging rates >100kW to assure me that my car isn't the issue.