The government could also just announce they're imprisoning anyone who owns Bitcoin. Coinbase, Kraken, Gemini, Grayscale all shut down overnight. Everyone rushes for the exits and drives the price down below $1. If it is ever to return it would be as an illegal product.
Now I don't think this is going to happen just because enough people in government own BTC at this point, but it's not impossible. And it has nothing to do with the resilience of the computing network. You could mine Bitcoin over TOR or I2P to keep the network alive but it won't matter.