O histórico de navegação do Chrome é armazenado como parte do perfil do Google?
Sim, se você estiver conectado e tiver a sincronização do Google Chrome ativada.
O que é salvo na sua Web e amp; App Activity
Activity from Chrome and other apps
When you check the box next to "Include history from Chrome and other apps in your Web & App Activity," Google saves information like:
Your Chrome browsing history (if you're signed in and have Chrome Sync turned on). This information helps you see more accurate results and suggestions. For example, if you read a lot of articles about your favorite sports team, you might see an option to receive news updates about that team.
The apps you use and the data they share with Google. This lets you see things like sites or content that you've looked at in other apps in your Google search results.
Fonte Google Web e & Atividade de aplicativos