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Subdirs are added to profile dir over time. Subdirs such as
"Storage" could contains many files and are not critical to
bring up chrome. It could make profile flushing take a longer
time and stuck during shutdown. This CL changes to only
flush files directly under profile dir.

Bug: 998677
Change-Id: I5cf3e858c4f60ee6c9b4983431533bc9a07854ef
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1776782Reviewed-by: Achuith Bhandarkar <achuith@chromium.org>
Commit-Queue: Xiyuan Xia <xiyuan@chromium.org>
Cr-Commit-Position: refs/heads/master@{#691809}