I incorporated new data on US commercial payors by market share in a recent report, and I'm providing it here.
The information comes from a 2023 AMA report on market consolidation in the insurance industry. See the link to download their full report, which includes concentration of payors by metropolitan area.
https://www.ama-assn.org/press-center/press-releases/ama-identifies-market-leaders-health-insurance
Here's the national roll-up of data, per AMA.