[PR #9455/dfaafac0 backport][3.10] Fix AsyncResolver query fallback swallowing the error message

[patchback]

This is a backport of PR #9455 as merged into 3.11 (dfaafac).

Same change as #9451 but for the query fallback code for older versions of aiodns

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 97.81%. Comparing base (ba9b33e) to head (7b7decf).
Report is 1 commits behind head on 3.10.

✅ All tests successful. No failed tests found.

Additional details and impacted files

@@            Coverage Diff             @@
##             3.10    #9456      +/-   ##
==========================================
+ Coverage   97.79%   97.81%   +0.01%     
==========================================
  Files         108      108              
  Lines       34968    34986      +18     
  Branches     4185     4191       +6     
==========================================
+ Hits        34198    34221      +23     
+ Misses        573      569       -4     
+ Partials      197      196       -1     

Flag	Coverage Δ
CI-GHA	97.70% <100.00%> (+0.01%)	⬆️
OS-Linux	97.38% <100.00%> (+0.01%)	⬆️
OS-Windows	94.92% <20.00%> (-0.04%)	⬇️
OS-macOS	97.08% <100.00%> (+0.01%)	⬆️
Py-3.10.11	96.94% <100.00%> (+0.01%)	⬆️
Py-3.10.15	96.87% <100.00%> (+0.01%)	⬆️
Py-3.11.10	96.96% <100.00%> (+0.01%)	⬆️
Py-3.11.9	97.05% <100.00%> (+0.03%)	⬆️
Py-3.12.7	97.41% <100.00%> (+0.01%)	⬆️
Py-3.13.0	97.40% <100.00%> (+0.01%)	⬆️
Py-3.8.10	94.30% <20.00%> (-0.04%)	⬇️
Py-3.8.18	96.67% <100.00%> (+0.01%)	⬆️
Py-3.9.13	96.85% <100.00%> (+0.01%)	⬆️
Py-3.9.20	96.79% <100.00%> (+0.01%)	⬆️
Py-pypy7.3.16	96.39% <100.00%> (+0.01%)	⬆️
VM-macos	97.08% <100.00%> (+0.01%)	⬆️
VM-ubuntu	97.38% <100.00%> (+0.01%)	⬆️
VM-windows	94.92% <20.00%> (-0.04%)	⬇️

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