With this PR, the check successfully failed:

PATH=./venv/bin:$PATH sphinx-lint -i tools -i ./venv -i README.rst --severity=0 --disable='line too long'
No problems found.
PATH=./venv/bin:$PATH sphinx-lint ../Misc/NEWS.d/next/ --severity=0 --disable='line too long'
[0] ../Misc/NEWS.d/next/Library/2022-04-26-18-02-44.gh-issue-91928.V0YveU.rst:1: default role used (hint: for inline code, use double backticks)
[0] ../Misc/NEWS.d/next/Documentation/2022-04-24-22-09-31.gh-issue-91888.kTjJLx.rst:1: default role used (hint: for inline code, use double backticks)
2 problems with severity 0 found.
make: *** [Makefile:217: check] Error 1
##[error]Bash exited with code '2'.

I added the same changes to make.bat, but I don't have a Windows machine to test them (cc @python/windows-team).

make.bat seems outdated compared to Makefile, so I made a couple of changes to make them converge:

• b973542 added the sphinx-lint check to Misc/NEWS.d/next (see Deprecate suspicious.py? #86404 (comment))
• b3f1f59 added README.rst to the ignored files, but I don't see a reason to ignore it, so I removed it from Makefile to align it with make.bat instead (see
  Rename Doc/README.txt to Doc/README.rst and add formatting #104 (comment))

In addition, bfba2cd added the venv dir to the ignored dirs, but make.bat doesn't seem to use venv, so no change was required.

The CI fails:

Error: [0] ../Misc/NEWS.d/next/Documentation/2022-04-24-22-09-31.gh-issue-91888.kTjJLx.rst:1: default role used (hint: for inline code, use double backticks)
Error: [0] ../Misc/NEWS.d/next/Library/2022-04-26-18-02-44.gh-issue-91928.V0YveU.rst:1: default role used (hint: for inline code, use double backticks)

Yes, I'm leaving the failures so that people can test if they are detected on Windows too. If they are, I'll fix them and merge the PR.

Tried the patch out on my Windows machine:

C:\Users\alexw\coding\cpython>"Doc/make.bat" check
Using py -3.10 (found 3.10 with py.exe)
Error: path too does not exist
Error: path too does not exist

(I'll be honest, I usually don't bother with the .bat file when I'm writing a docs patch. I usually use sphinx-build to build the docs locally, git diff to check for trailing whitespace, and sphinx-lint in CPython's CI to check for markup errors.)

Thanks everyone for the feedback and testing! I'll wait for the feedback of @JulienPalard before fixing the 2 failures and merging the PR.

@ezio-melotti Don't you prefer waiting for sphinx-contrib/sphinx-lint#27 to be merged, avoiding two commits on cpython doing the same thing?

It would look like sphinx-lint --enable default-role, which is more transparent than --severity 0 --disable 'line too long'.

The PR should be ready to be merged.
@AlexWaygood / @zware: can you check if it works on Windows? (you might have to update sphinx-lint)

Looks like it works on WIndows too.

Thanks @ezio-melotti for the PR 🌮🎉.. I'm working now to backport this PR to: 3.9.
🐍🍒⛏🤖

Thanks @ezio-melotti for the PR 🌮🎉.. I'm working now to backport this PR to: 3.10.
🐍🍒⛏🤖

Thanks @ezio-melotti for the PR 🌮🎉.. I'm working now to backport this PR to: 3.11.
🐍🍒⛏🤖

Sorry @ezio-melotti, I had trouble checking out the 3.9 backport branch.
Please backport using cherry_picker on command line.
cherry_picker 953ab0795243900ccccaaca069d932730a86fc20 3.9

Sorry, @ezio-melotti, I could not cleanly backport this to 3.10 due to a conflict.
Please backport using cherry_picker on command line.
cherry_picker 953ab0795243900ccccaaca069d932730a86fc20 3.10

Sorry @ezio-melotti, I had trouble checking out the 3.11 backport branch.
Please backport using cherry_picker on command line.
cherry_picker 953ab0795243900ccccaaca069d932730a86fc20 3.11

GH-92821 is a backport of this pull request to the 3.11 branch.

Thanks @ezio-melotti!