Well, eventhough the question is borderline opinion-based, I will give you rundown of my knowledge and experience.
First off, that is to say, I have experience with PythonTeX and never used hybrid-latex. I have used it to learn Python, notably numpy, matplotlib, pandas, lxml and other around data processing. Next points will give you reasons why.
I have found this package as the only still maintained and actively developed package in this topic. When searching, I did not even hit hybrid-latex, but I have come across pyLaTeX that seemed abandoned at that time.
PythonTeX has same author as minted and fancyvrb packages, which kinda guarantees authors skills in TeX programming.
PythonTeX supports a lot of other programming languages - R, Julia, Perl, bash, and more
I looked briefly at pyLaTeX manual - all the cons of PythonTeX mentioned there are not valid. Adding new language to PythonTeX is pretty easy, if it is interpreted language. Compiled languages with specific requirements might be problem.
PythonTeX has enough options, environments and macros to specify which code blocks you want to execute, only typeset (only print), or both. It also allows you to reference variable values in LaTeX text seamlessly and easily.
Look at the quickstart guide, its fantastic.
Error messages are synchronized with TeX line numbers - therefore, in case of error in your code, you know at which line in .tex file it occured. That helps a lot.
For setting up automated compilations there is an arara rule (watch out, I am its author, it would be cool to have someone else test it) and there is also guide how to setup latexmk for PythonTeX. Since both PythonTeX and latex-hybrid require 3 step compilation, this helps a lot too.
Lastly, PythonTeX has an active author and community. Author is now mostly active on Github.
CONS:
Only one, actually. That is, due to pandemic and maybe other issues, author does not have currently resources to actively develop the package. Currently it is mostly bugfixing. Author has also other similar project, codebraid, that is coupled with pandoc and fixes most of PythonTeX limitations.
But, PythonTeX is in no means abandoned.