Added regression test for cached logging status

[meehand]

What do these changes do?

Adds regression test for bug that was resolved post-3.13.2

Are there changes in behavior for the user?

None

Is it a substantial burden for the maintainers to support this?

No

Related issue number

Ensures #11778 stays resolved

Checklist

• I think the code is well written
• Unit tests for the changes exist
• Documentation reflects the changes
• If you provide code modification, please add yourself to CONTRIBUTORS.txt
  • The format is <Name> <Surname>.
  • Please keep alphabetical order, the file is sorted by names.
• Add a new news fragment into the CHANGES/ folder

  • name it <issue_or_pr_num>.<type>.rst (e.g. 588.bugfix.rst)

  • if you don't have an issue number, change it to the pull request
    number after creating the PR

    • .bugfix: A bug fix for something the maintainers deemed an
      improper undesired behavior that got corrected to match
      pre-agreed expectations.
    • .feature: A new behavior, public APIs. That sort of stuff.
    • .deprecation: A declaration of future API removals and breaking
      changes in behavior.
    • .breaking: When something public is removed in a breaking way.
      Could be deprecated in an earlier release.
    • .doc: Notable updates to the documentation structure or build
      process.
    • .packaging: Notes for downstreams about unobvious side effects
      and tooling. Changes in the test invocation considerations and
      runtime assumptions.
    • .contrib: Stuff that affects the contributor experience. e.g.
      Running tests, building the docs, setting up the development
      environment.
    • .misc: Changes that are hard to assign to any of the above
      categories.

  • Make sure to use full sentences with correct case and punctuation,
    for example:

    Fixed issue with non-ascii contents in doctest text files
    -- by :user:`contributor-gh-handle`.

    Use the past tense or the present tense a non-imperative mood,
    referring to what's changed compared to the last released version
    of this project.

[codspeed-hq]

CodSpeed Performance Report

Merging #11795 will not alter performance

_{Comparing meehand:enabled-caching-regression-test (f5282d8) with master (a7b598b)}

Summary

✅ 59 untouched

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 98.73%. Comparing base (a7b598b) to head (f5282d8).
⚠️ Report is 1 commits behind head on master.
✅ All tests successful. No failed tests found.

Additional details and impacted files

@@            Coverage Diff             @@
##           master   #11795      +/-   ##
==========================================
+ Coverage   97.30%   98.73%   +1.43%     
==========================================
  Files         127      127              
  Lines       43823    43845      +22     
  Branches     2332     2332              
==========================================
+ Hits        42643    43292     +649     
+ Misses        959      392     -567     
+ Partials      221      161      -60     

Flag	Coverage Δ
CI-GHA	98.60% <100.00%> (+1.31%)	⬆️
OS-Linux	98.33% <100.00%> (+1.05%)	⬆️
OS-Windows	96.68% <100.00%> (?)
OS-macOS	97.56% <100.00%> (?)
Py-3.10.11	97.10% <100.00%> (?)
Py-3.10.19	97.60% <100.00%> (?)
Py-3.11.14	97.80% <100.00%> (+0.68%)	⬆️
Py-3.11.9	97.31% <100.00%> (?)
Py-3.12.10	97.41% <100.00%> (?)
Py-3.12.12	97.90% <100.00%> (+0.67%)	⬆️
Py-3.13.9	98.15% <100.00%> (?)
Py-3.14.0	98.11% <100.00%> (?)
Py-3.14.0t	97.18% <100.00%> (?)
Py-pypy3.11.13-7.3.20	97.40% <100.00%> (?)
VM-macos	97.56% <100.00%> (?)
VM-ubuntu	98.33% <100.00%> (+1.05%)	⬆️
VM-windows	96.68% <100.00%> (?)

Flags with carried forward coverage won't be shown. Click here to find out more.

☔ View full report in Codecov by Sentry.
📢 Have feedback on the report? Share it here.

[patchback]

Backport to 3.13: 💚 backport PR created

✅ Backport PR branch: patchback/backports/3.13/d097058504374b86c2738c2ebe6f9b445d38ad75/pr-11795

Backported as #11802

🤖 @patchback
I'm built with octomachinery and
my source is open — https://github.com/sanitizers/patchback-github-app.

[patchback]

Backport to 3.14: 💚 backport PR created

✅ Backport PR branch: patchback/backports/3.14/d097058504374b86c2738c2ebe6f9b445d38ad75/pr-11795

Backported as #11803

🤖 @patchback
I'm built with octomachinery and
my source is open — https://github.com/sanitizers/patchback-github-app.