Sure but then the solution is that you go and pick up the servers and move them somewhere else, instead of suddenly finding yourself with absolutely nothing and no way out.
Until you are served with a court order to preserve evidence for forensic inspection and then you are stuck with a powered off pile of hardware while you wait for the forensic analyst to show up and make bit level copies of everything; or you are served with a temporary restraining order/preliminary injunction forbidding you from reconnecting the hardware at all until the case is decided.
A better approach is to have a reverse proxy in a difference account/hosting provider. That way the take-down is of the proxy which should be minimal config and no data.
Setting up another reverse proxy in the event of a take-down should be minimal effort.
It then becomes a game of whack a mole if anybody wants to take down a service. I assume this is how The Pirate Bay stayed up for so long.