Not for me it doesn't. 69 on Mac OS.
- log out of Google Chrome
- clear all cookies (requires digging deep into the settings or using devtools, otherwise Google's cookies will remain)
- restart the browser
- make sure that your picture is not displayed in the browser itself or in the browser settings and that you aren't in incognito mode
- visit the Gmail website and log in
- your picture will now be displayed in the browser software itself (not just Google websites) and in the browser settings
- clearing cookies (ctrl-shift-del on Linux) will not log you out of Google websites or the browser
In about:settings, does it say at the top "Syncing to codefined", or is there a button you can press to "Sync as codefined". Maybe the confusion is the UI.