fix(typescript-estree): use simpler absolutify behavior for project service client file paths

[JoshuaKGoldberg]

PR Checklist

• Addresses an existing open issue: fixes Bug: Performance regression from #7752 in project service due to changed file name casing #8519
• That issue was marked as accepting prs
• Steps in Contributing were taken

Overview

Goes back to the absolutify function behavior that was removed in #7752 for massing the provided client file paths.

[typescript-eslint]

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✅ Successfully ran 31 targets

• nx test typescript-estree
• nx test scope-manager
• nx test type-utils
• nx run types:build
• nx test typescript-eslint
• nx test visitor-keys
• nx run repo-tools:postinstall-script
• nx test utils
• nx test repo-tools
• nx test rule-schema-to-typescript-types
• nx test parser
• nx test ast-spec
• nx test eslint-plugin
• nx run-many --target=lint --parallel
• nx test eslint-plugin-internal
• nx run-many --target=build --parallel --exclude=website --exclude=website-eslint
• nx test typescript-estree --coverage=false
• nx run-many --target=typecheck --parallel
• nx test scope-manager --coverage=false
• nx test rule-schema-to-typescript-types --coverage=false
• nx test eslint-plugin --coverage=false
• nx test ast-spec --coverage=false
• nx test parser --coverage=false
• nx test typescript-eslint --coverage=false
• nx test repo-tools --coverage=false
• nx test type-utils --coverage=false
• nx test visitor-keys --coverage=false
• nx test eslint-plugin-internal --coverage=false
• nx test utils --coverage=false
• nx run integration-tests:test
• nx run repo-tools:generate-configs

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[codecov]

Codecov Report

Attention: Patch coverage is 91.66667% with 1 lines in your changes are missing coverage. Please review.

Project coverage is 87.84%. Comparing base (c1441c8) to head (898b1df).
Report is 5 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #8520      +/-   ##
==========================================
+ Coverage   86.88%   87.84%   +0.95%     
==========================================
  Files         251      397     +146     
  Lines       12265    13844    +1579     
  Branches     3866     4073     +207     
==========================================
+ Hits        10657    12161    +1504     
- Misses       1338     1381      +43     
- Partials      270      302      +32     

Flag	Coverage Δ
unittest	87.84% <91.66%> (+0.95%)	⬆️

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

Files	Coverage Δ
...escript-estree/src/useProgramFromProjectService.ts	93.33% <91.66%> (+74.81%)	⬆️

... and 150 files with indirect coverage changes