Sync outdated developer API docs, add check in CI

[victorlin]

Description of proposed changes

Related issue(s)

• 1524

Checklist

• [x] Checks pass
• [x] Check fails if an existing doc is removed (example: 696284c4397b3cd252c8c0eb081868cfda88b4a4)
• [x] ~If making user-facing changes, add a message in CHANGES.md summarizing the changes in this PR~ no functional changes

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 69.69%. Comparing base (d33556c) to head (696284c). Report is 5 commits behind head on master.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #1525 +/- ## ========================================== + Coverage 69.63% 69.69% +0.05% ========================================== Files 74 74 Lines 7812 7827 +15 Branches 1910 1914 +4 ========================================== + Hits 5440 5455 +15 Misses 2086 2086 Partials 286 286 ```

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