Certainly not. But is Google planning to hand over lists of users who search for banned terms? It seems like there's a big difference between handing over lists of users and restricting information.
I think what you're not understanding is it's not Google doing this vs that, it's Google doing what they are told, whatever that may be, or leaving.
Yes? That's so obvious I'm a little stunned you're even asking. If the government orders them to hand over that information, they won't have any choice.