GitHub link to Nintendo's claim - all the details you need are here
The emulator forks which are being taken down are as follows:
Despite this, the one fork that continues, and will continue without takedown is Ryubing - by Greemdev. This is created by an original member of the Ryujinx team. It's safe, the code is beyond reproach (and violates zero laws or Nintendo code) and actually brings helpful updates.
Still...shitty news. And more indication that the Switch 2's architecture will be damn similar to that of this current Switch. Them taking emulators down means the upcoming games have a solid chance of being emulatable on release. But...that's my own (and others') conjecture, so we'll see when the time comes.
Just legal bullying. Good luck fighting an army of lawyers that are also lobbying the system. That being said all of that would be civil suits so if emulator creators don't earn money they don't have much to lose but the ability to continue the work.
Nintendo got one guy's paychecks garnished for the rest of his life. So even if you have no money there is a lot to lose.