I think they are/were, or at least some of them have been at some points in time during which they had a $1 salary. Although maybe there are different definitions of the word manager and I'm not really familiar with them all.

>Typically, responsibilities include being a decision maker on business strategy and other key policy issues, leader, manager, and executor.

https://en.wikipedia.org/wiki/Chief_executive_officer

>"We've never been ones to hold on to management roles when we think there's a better way to run the company. And Alphabet and Google no longer need two CEOs and a President," their letter said.

https://www.bbc.com/news/technology-50653345

That was said when Larry Page and Sergey Brin were stepping back. So it seems to imply their old roles were management roles and their new roles aren't.