The SkiaGoldHttpOverrides don't have any effect since we never build our own HttpClient, it's always passed in.
This is part 18 of a broken down version of the #140101 refactor.
This particular change is more risky than other changes in this series. While by inspection and some instrumentation testing I'm reasonably sure that my assumptions here are correct, it would behoove us to make sure Skia Gold testing still works post-commit after this lands. To this end, I've included a change to the "inconsequential" test. It should fail the tests. I recommend we land this _with this failure_ to make sure it also fails post-commit, then immediately flag the image as passing and rerun the relevant shard.
a5609dfa5a