`no-index` ignored for `:py:module:`

[stephenfin]

Describe the bug

The noindex flag allows you to avoid creating an index entry for a directive. This is useful where e.g. a module is documented twice. It looks like the long-term plan is to deprecate noindex in favour of no-index and in #12620 we made changes to that effect. However, that PR has completely removed the ability to set the noindex property on these directives, introducing a regression. I suspect the author assumed inheritance, but we don't call super() from PyObject.run.

How to Reproduce

See https://github.com/stephenfin/sphinx-issue-12843

Environment Information

n/a (occurs with any commit from e439c6f33f to ce0d1791d6 (`HEAD` of `master` at time of writing)

Sphinx extensions

[]

Additional context

No response