I have been working with QGIS more, and one aspect I find really handy with that Field Calculator is the support for a few common regular expression string functions (regexp_matches, regexp_replace, regex_substr) natively within the dialog. I think having something similar in ArcGIS Pro's Calculate Field would be useful, but I also realize the implementation in Pro could not take the same form as in QGIS. After thinking about how various functions are implemented in Calculate Field currently, I think the simplest way to make regular expression use easier would be to add a few "re" Helpers in the Calculate Field dialog similar to how "math" Helpers are added.
I realize someone can import re into a code block and define a function there and use regular expression, but I also think having re.findall, re.split, and re.sub usable in the Expression block via a Helper would make using regular expression more accessible to more users.
If this were to be considered, I know the likely outcome would be using "re" since it is a native/core library, but it does look like Pro already comes bundled with "regex", and I have to say I find "regex" much better at portable Unicode syntax than the "re" library.