Missing process status in *Python* buffer

With Emacs 30.1 and 32.0.50 (both started with -Q), after `run-python` is
called, the mode-line of the created `*Python*` buffer doesn't display any
process information despite the following line in the definition of the
major mode `inferior-python-mode`:

``` elisp
  (setq mode-line-process '(":%s"))
```
and the local value of `mode-line-process` is nil in that buffer.

Is this something expected? Could someone point me to the place where this
variable value is overridden? Should I open a bug report for this?

With `comint-run` the mode-line displays the process status...

I wanted to add a mention of whether the process runs a virtual environment
or not but since nothing is displayed...
-- 
Matthias