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I'd like to know how this translates to other frequently used modules that are potentially computationally heavy, if at all.

- Numpy.

- Pandas.

- Scikit.

- Dask.

- Flask / Django. Others?

Some of those are bindings to C and C++ libraries, so hardly any change.
Well the heavy lifting in the numerical libraries you listed is done in C so it won't make any difference at all.
There is a lot of talk about how 3.11 is a good performance improvement over 3.10 and especially in comparison to other python minor version updates. Is there anyway to quantify other version performance increases i.e between 3.8 and 3.9 and 3.9 to 3.10 etc? So it's a nice comparison