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This reverts commit 1056c8a4.

Reason for revert: Seems to have caused test flakiness with non-empty message
loop. See https://crbug.com/422884.

BUG=422884
TBR=rockot@chromium.org

Review URL: https://codereview.chromium.org/653623002

Cr-Commit-Position: refs/heads/master@{#299294}