I don't trust Chrome. When I went to App Store to get it, and the data Chrome gathers that is linked to your identity is: financial info, location, contact info, contacts, user conten, search history, browsing history, identifiers, usage data, diagnostics and other data. Safari also collects browsing history and location information, but they don't link it to your identity.
I would honestly not care if Chrome was 100% faster, because Google is severely lacking in their privacy policy.