I took a look at this and it looked like data-reduction-proxy and network-quality-estimator were the main callers of this API.

The following revision refers to this bug:
  https://chromium.googlesource.com/chromium/src.git/+/ed90e4518191399b71b14c9dff648a45c16491e6

commit ed90e4518191399b71b14c9dff648a45c16491e6
Author: Tarun Bansal <tbansal@chromium.org>
Date: Fri Apr 06 03:07:17 2018

Update AndroidNetworkLibrary getSSID function to handle lack of permissions.

getSSID on Android may return a special pre-defined string if the app
does not have permissions to get the SSID.

In that case, the method returns an empty string.

Change-Id: I58c99301b4d611124c8434e93fd787edbec32da3
Bug:  827212 
Reviewed-on: https://chromium-review.googlesource.com/987306
Reviewed-by: Paul Jensen <pauljensen@chromium.org>
Commit-Queue: Tarun Bansal <tbansal@chromium.org>
Cr-Commit-Position: refs/heads/master@{#548650}
[modify] https://crrev.com/ed90e4518191399b71b14c9dff648a45c16491e6/net/android/java/src/org/chromium/net/AndroidNetworkLibrary.java
[modify] https://crrev.com/ed90e4518191399b71b14c9dff648a45c16491e6/net/android/network_library.h
[modify] https://crrev.com/ed90e4518191399b71b14c9dff648a45c16491e6/net/base/network_interfaces.h