You're free to make your own choices. Schmidt (and Google) make no such promise. Use ProtonMail and DDG if you care so much, others will use Google, life moves on. No one is coercing anyone else.
Specifically because Schmidt made a career as a lobbyist for privacy erosion, I think he's open to criticism on this basis, even if he is not guilty of coercion.
If it were some random person who was just developing a product I would agree with you to leave well enough alone, but I think the lobbying angle is enough to clear the bar of "theses actions should be publicly scrutinized".
"No one is coercing anyone else" - in a way they are. As a software developer I don't think I have the choice not to use one of the big clouds. Protonmail and DDG I do use, but I can't use Hetzner instead of AWS or GCE if I want to remain competitive. (Offtopic: I am actually starting a new project and this is what I'm struggling with.)