I hope not, but I suspect they will succeed. My observation is that the vast majority of people around me here in Europe see Google as completely trustworthy.
It's truly profound how split-second loading delays contribute to a negative impression about digital products. I guess we're all worn out from using our devices. Most of us just want "thing" ASAP, and we'll compulsively click 'agree' to anything that happens to stand in the way of it.
'Why don't you switch to Chrome, it works better/faster.' is not the sort of social pressure I can quickly respond to with my privacy concerns. And it's not like I'm not going to get an eye-roll or tin-foil-man comments from the mom-pop-type people in my life.