They already claim to fully own the design.

>Our main manufacturing partner is Compal, who makes laptops for many other large US notebook makers.

>Apart from off the shelf modules like the SSD, RAM, WiFi, and LCD, the Framework Laptop is entirely custom to us, and we own all of the design and tooling.

If you locate Acer Swift 3 SF313-53 diagram it will be 90% same thing, just shuffled around with different mechanical design.

They might be owning the design itself, but I can easily imagine that the NDAs required to get access to specifications and design guidelines for parts like the CPU, GPU and other chipsets include a provision that no material must be released that allows others to clean-room reverse-engineer the protected material.

I don't know about these things a great deal, but it would seem reasonable to me that an NDA might include limiting what you can say about the NDA?

It depends if the NDA allows them to discuss it at all!

These has to be a limit to this madness, can I get an NDA that does not let you state your name to anyone

There are limits to contracts in the law. There would have to be some form of consideration to that contract. If you gave me a million dollars a year but I just can't use my current legal name in casual conversation, I'd take that contract. If you just wrote a contract that said "you can't use your name, you get nothing" its an unenforceable contract under US (and most of the developed world's) contract laws under the principle of consideration.

https://en.wikipedia.org/wiki/Consideration