- Dolphin is not a party into any of this. Valve's ToS likely allows them to take down anything for any reason they want. There's no counter claim process or anything like this.

- Valve could have decided to ignore Nintendo with ~ no liability. They decided to just do whatever they were asked, and that's not surprising given they initiated contact in the first place.

- Dolphin probably has no recourse here to get any other outcome from Valve, but also no particular risk or liability.