Perfect example. This owner added 110 miles of range in 45 minutes, or ~26kWh, which means an average charge rate of 35kW. He charged from approximately 48% to 83%.
With V3 he could add the same range in about 15-18 minutes -- that's based on eyeballing the charge rate curve in your other link.
The S and X will see similar gains now, because this generation of technology is the same as the TM3.
I do not believe that Tesla has published an actual charge percentage vs time curve for this new S/X update, but you can rest assured the many tech blogs which cover Tesla's every move will have one posted as soon as someone can get their hands on one. There will be parts of the curve which are significantly more than 50% higher charge rates (perhaps up to 400% increases at most), and parts which are virtually unchanged (above 90% capacity).
In the meantime, you should be confident that when Tesla says "expect to charge 50% faster" that's a real average number based on actual usage data they collect in the field, and sometimes you will beat it, sometimes not, depending on many variables which can impact charge rate.
One things that won't be impacting your charge rate on V3 are the Teslas charging next to you. In the article you linked, I would speculate the 35kW average charge rate is due to shared main feeds in V1/V2 Supercharger stations.