Just been doing some quick and dirty sums. The cells that are currently fitted to my (DIY converted) electric motorcycle are pretty old now, they were made in 2012. Looking at their spec, they have a maximum charge rate of 10C. I would expect newer cells to be capable of higher rates than this. Anyway, assuming that my Tesla was fitted with these 2012 technology cells, and that it had a nominal battery pack capacity of 77 kWh, then the maximum charge rate would be 770 kW, very roughly a time to charge from 10% to 90% of about 4.8 minutes.
So, I strongly suspect that there's nothing much "new" about these cells at all. The issue with very rapid charging almost certainly isn't related to the cells used in any battery pack, but the issues surrounding charge provision and management. The maximum current that can be supplied via a CCS connector is 200A for non-liquid cooled cables, or 500 A with liquid cooling. To get a charge power of around 700 kW means significant vehicle and infrastructure changes.
Right now the car with the highest theoretical charging capability (not actually implemented, though), is the Porsche Taycan, as it has a battery voltage that's roughly double that used by practically everyone else, and this allows faster charging whilst staying within the CCS connector maximum current limit. Tesla battery packs are ~ 400 VDC, the Taycan battery pack is ~ 800 VDC. 500 A at 800 VDC would allow charging at up to 400 kW, whereas the 500 A CCS connector limit restricts even the highest voltage Tesla model to 200 kW (yes, superchargers are capable of delivering more than this, but the CCS connector is officially limited to 500 A, even with liquid cooled cables).