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This change removes the call made to determine the default browser state
in call to shell_integration::GetChromeDefaultState.  The call is
expensive on all platforms and in this case the result is never even
actually used. Removing CachedDefaultWebClientState from
BrowserProcessImpl since it is not used.

Bug: 1012357
Change-Id: Ic85f5dbdea9bd45afe2b372942069bad3136be90
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/1845509Reviewed-by: Scott Violet <sky@chromium.org>
Commit-Queue: Chris Davis <chrdavis@microsoft.com>
Cr-Commit-Position: refs/heads/master@{#704843}