That is a far cry from "surrendering your rights to the government."
It's not only a far cry, it's entirely irrelevent.
You're merely discussing one of the mechanisms of indemnification (and there are hundreds, if not thousands - enough to keep entire legal industries wealthy).
What I am talking about is the price of entry.
You want to play the corporation game, you surrender your rights and exchange them for privileges. That is the flat-out, inescapable, rock-solid, unchanging truth. Corporations have no rights. "Corporate rights" are NOT the same as the Constitutional acknowledgement of pre-existing human natural rights. Rather, corporate "rights" are in fact "privilege grants" from the government that may be changed or rescinded at any time by the government.
And THAT is exactly "surrendering your rights to the government."