Standardize atomicdistances to use results

[charity-g]

Fixes #4819

Changes made in this Pull Request:

• MDAnalysis.analysis.atomicdistances.AtomicDistances results are now consistent with expectedanalysis documentation data type = Results (Issue analysis.atomicdistances.AtomicDistances does not use Results #4819)

LLM / AI generated code disclosure

LLMs or other AI-powered tools (beyond simple IDE use cases) were used in this contribution: no

PR Checklist

• Issue raised/referenced?
• Tests updated/added?
• Documentation updated/added?
• package/CHANGELOG file updated?
• Is your name in package/AUTHORS? (If it is not, add it!)
• LLM/AI disclosure was updated.

Developers Certificate of Origin

I certify that I can submit this code contribution as described in the Developer Certificate of Origin, under the MDAnalysis LICENSE.

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📚 Documentation preview 📚: https://mdanalysis--5347.org.readthedocs.build/en/5347/

[BradyAJohnston]

Some suggestions that should fix the issues with running tests.

The black formatter is also failing. You can run it like this:

uvx black~=24.0 package

[orbeckst]

@charity-g based on discussion in #4822 (comment) we will continue with this PR. Have a look at @BradyAJohnston 's comments and feel free to take it out of draft mode.

[orbeckst]

The first thing is to make the code (and tests) run, following Brady's comments. Then please address my inline comments. Focus this PR just on the API change. CHANGELOG and docs must be very clear.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 93.84%. Comparing base (3be9117) to head (8eeb972).

Additional details and impacted files

@@             Coverage Diff             @@
##           develop    #5347      +/-   ##
===========================================
- Coverage    93.84%   93.84%   -0.01%     
===========================================
  Files          182      182              
  Lines        22491    22493       +2     
  Branches      3198     3198              
===========================================
+ Hits         21107    21108       +1     
- Misses         922      923       +1     
  Partials       462      462              

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