Ensure all requests go through middleware

[Dreamsorcerer]

Fixes #6463
Fixes #3287

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 98.95%. Comparing base (19a845f) to head (48a3b3b).
✅ All tests successful. No failed tests found.

Additional details and impacted files

@@           Coverage Diff            @@
##           master   #12925    +/-   ##
========================================
  Coverage   98.95%   98.95%            
========================================
  Files         131      131            
  Lines       47875    47981   +106     
  Branches     2492     2498     +6     
========================================
+ Hits        47375    47481   +106     
  Misses        376      376            
  Partials      124      124            

Flag	Coverage Δ
Autobahn	22.28% <19.02%> (-0.02%)	⬇️
CI-GHA	98.90% <100.00%> (+<0.01%)	⬆️
OS-Linux	98.66% <100.00%> (+<0.01%)	⬆️
OS-Windows	97.03% <100.00%> (+<0.01%)	⬆️
OS-macOS	97.94% <100.00%> (+0.01%)	⬆️
Py-3.10	98.13% <100.00%> (+<0.01%)	⬆️
Py-3.11	98.41% <100.00%> (+<0.01%)	⬆️
Py-3.12	98.50% <100.00%> (+<0.01%)	⬆️
Py-3.13	98.47% <100.00%> (+<0.01%)	⬆️
Py-3.14	98.49% <100.00%> (+<0.01%)	⬆️
Py-3.14t	97.57% <100.00%> (+<0.01%)	⬆️
Py-pypy-3.11	97.44% <100.00%> (+<0.01%)	⬆️
VM-macos	97.94% <100.00%> (+0.01%)	⬆️
VM-ubuntu	98.66% <100.00%> (+<0.01%)	⬆️
VM-windows	97.03% <100.00%> (+<0.01%)	⬆️
cython-coverage	38.00% <17.11%> (-0.06%)	⬇️

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[codspeed-hq]

Merging this PR will not alter performance

✅ 83 untouched benchmarks
⏩ 83 skipped benchmarks¹

---

_{Comparing middleware-all-requests (48a3b3b) with master (19a845f)}

Footnotes

1. 83 benchmarks were skipped, so the baseline results were used instead. If they were deleted from the codebase, click here and archive them to remove them from the performance reports. ↩