[Sync] Some cleanup of SyncTestUtil.
- Removes the Context argument from places it isn't needed.
- Removes everything related to about://sync as there are now better
ways to access sync state.
- Have just TIMEOUT_MS and INTERVAL_MS.
- Some other misc cleanups.
BUG=
556621
Committed:
https://crrev.com/78b449d801f2b1155c0a6aa2175cdea5f0f77a93
Cr-Commit-Position: refs/heads/master@{#360586}