Dies (see: https://blog.benjojo.co.uk/post/the-death-of-a-tld). Something that anyone should consider before getting a domain on a hippy GTLD. Alongside with how "bad" reputation it has that is usually correlated with low price offers.
The link you gave says emergency operation is provided preferably for a length of 12 months. That's it's meant to be a temporary measure (which is self-explanatory by the "emergency" in the name).
The 12 months is more than long enough to get a permanent operator assigned to run the TLD if the emergency operator isn't going to continue doing so. ICANN isn't just going to let an entire TLD's worth of domain names fall off the face of the Internet. This isn't theoretical either; they already went through it for .wed: https://www.icann.org/en/blogs/details/next-steps-for-the-we...
I imagine that it would still be up for the time the NS servers would be up. If they don't care about it, after the servers go silent the domains would become unreachable. But they would probably sell the ownership of it to someone else, or at least keep a few servers just for the sake of keeping it.
Edit: As forgotpwd16 pointed out, they can also give up their ownership
They'll never go bankrupt because they have enough remnants of ignorant mall customers to buy overpriced cables and because they're the last major game left in technology retail besides big box stores.
Not sure if the employee discount is still the same (close to cost) but a friend of mine worked there around 20 years ago and I was shocked how cheap he could get cables.
When I worked there, margins on the cables were something like 85-95% so employee discounts were huge. On other items, TVs and such, the margins are much much lower so at most you got $25-50 off of the sale price.