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Previously we were only doing this if the --new-avatar-menu was flipped.
This is a two-part CL. This CL removes the usages of the strings, but not
the strings themselves, since that involves some renaming and I'd like
to merge this to M39.

The CL that actually removes the unused strings is:
https://codereview.chromium.org/603023004/

XIB changes: use a different string ID for the profiles menu in the menu bar.
BUG=405988

Review URL: https://codereview.chromium.org/611033002

Cr-Commit-Position: refs/heads/master@{#297222}