I’ve charged at a v3 only 2-3 times before but your kw’s sound about right. Rarely stays in 120kw range for long, right?
Just based on my experiences in the past with a V3 supercharger, I'd expect that it would start around 180kw, and slowly taper down. I typically get >100kw until my battery is about 55% full. (Granted, there are a million things that affect charging speeds...maybe my battery wasn't warm enough, etc)
At least the electrons were free (I wasn't charged for my charging session according to Tesla, but TeslaFi says my charging session cost $986.11, so I hope I don't get a surprise bill )