the chance of it actually working as advertised (waking up after however long with a brand new perfectly healthy youthful nanotechnologically-grown immortal body) is vanishingly tiny

Am I the only one who thinks it is far more likely that the institution will fail than that the technology is never developed or is never applied?

Corporations, nation-states - few things have lasted hundreds of years with their cores intact. Laws change, market prices of commodities change, wars happen. The United States is not immune.