The trouble with using two menus instead of one is that you never know which menu is the one you need. That’s probably the reason why Chrome’s team opted for a unified menu.
Here’s the menu displayed when you click your name in Gmail:
… and here’s the options menu, this time in Google Search:
Notice that “account settings” and “privacy” are added to both menus, depending on the service you use. It’s likely that the first menu is used for account-related features and the second menu is used for features related to the service you’re currently using, but that’s still confusing.