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Follow-up to https://chromium-review.googlesource.com/c/chromium/src/+/941264

Now that only BrowserThread::UI/IO remain: APIs used to prevent
further abuse in other BrowserThreads during their deprecation are no
longer needed :).

R=fdoray@chromium.org

Bug: 815225
Change-Id: Ifa952367cd2ba87d035c14f0428393644503ef18
Reviewed-on: https://chromium-review.googlesource.com/963361
Commit-Queue: Gabriel Charette <gab@chromium.org>
Reviewed-by: François Doray <fdoray@chromium.org>
Reviewed-by: Ken Rockot <rockot@chromium.org>
Cr-Commit-Position: refs/heads/master@{#543462}