[field-diff] Remove UpdatePropertySpecificDifferencesOtherTransform

This shifts UpdatePropertySpecificDifferencesOtherTransform to the
field-diff logic.

There should be no behaviour change.

Bug: 339300436
Change-Id: I7272c69d323d46c15b17a31953f022995674b00f
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5511682


Reviewed-by: Anders Hartvoll Ruud <andruud@chromium.org>
Commit-Queue: Ian Kilpatrick <ikilpatrick@chromium.org>
Cr-Commit-Position: refs/heads/main@{#1300860}