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Primarily to let it keep track of fields that have user input.
CL 2035983 allowed AutoFillAgent to use FieldDataManager but it was
still not used for some FormData extractions. This fixes it.

Bug: 957444, 1006745.
Change-Id: If4b3e080e05bb64e144bf4c9b8b08ba62aea997b
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2041592
Commit-Queue: Maria Kazinova <kazinova@google.com>
Reviewed-by: Vadym Doroshenko <dvadym@chromium.org>
Cr-Commit-Position: refs/heads/master@{#738958}