Fix lost details on HttpProcessingError (#9052)

[Dreamsorcerer]

(cherry picked from commit 8911419)

[codecov]

Codecov Report

Attention: Patch coverage is 50.00000% with 2 lines in your changes missing coverage. Please review.

Project coverage is 97.78%. Comparing base (e9609ad) to head (1e7b21c).
Report is 1 commits behind head on 3.11.

✅ All tests successful. No failed tests found.

Files with missing lines	Patch %	Lines
aiohttp/client_proto.py	50.00%	1 Missing and 1 partial ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             3.11    #9205      +/-   ##
==========================================
- Coverage   97.79%   97.78%   -0.01%     
==========================================
  Files         108      108              
  Lines       34669    34672       +3     
  Branches     4129     4130       +1     
==========================================
+ Hits        33904    33905       +1     
- Misses        572      573       +1     
- Partials      193      194       +1     

Flag	Coverage Δ
CI-GHA	97.68% <50.00%> (-0.01%)	⬇️
OS-Linux	97.36% <50.00%> (-0.01%)	⬇️
OS-Windows	94.95% <50.00%> (-0.01%)	⬇️
OS-macOS	97.06% <50.00%> (+<0.01%)	⬆️
Py-3.10.11	97.14% <50.00%> (-0.01%)	⬇️
Py-3.10.15	96.90% <50.00%> (-0.19%)	⬇️
Py-3.11.10	96.98% <50.00%> (-0.01%)	⬇️
Py-3.11.9	97.04% <50.00%> (-0.01%)	⬇️
Py-3.12.6	97.41% <50.00%> (-0.01%)	⬇️
Py-3.9.13	97.05% <50.00%> (-0.01%)	⬇️
Py-3.9.20	96.99% <50.00%> (-0.01%)	⬇️
Py-pypy7.3.16	96.59% <50.00%> (-0.01%)	⬇️
VM-macos	97.06% <50.00%> (+<0.01%)	⬆️
VM-ubuntu	97.36% <50.00%> (-0.01%)	⬇️
VM-windows	94.95% <50.00%> (-0.01%)	⬇️

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