Remove deprecated APIs from test-api.cc, lines 10k - 17k.

- Except 2x applications of ForceSet, where I still need to debug
  why the expected replacement doesn't work as expected.
- Ca. 3/4 of the file is covered.

R=jochen@chromium.org
BUG=

Review URL: https://codereview.chromium.org/1516483002

Cr-Commit-Position: refs/heads/master@{#32714}