ENH: Allow to skip series type check in assert_frame_equal (#48287)
Add an option check_series_type that is passed to assert_series_equal
in compare by columns.

- [x] closes #48287
- [ ] [Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature
- [ ] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [ ] Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) to new arguments/methods/functions.
- [ ] Added an entry in the latest `doc/source/whatsnew/vX.X.X.rst` file if fixing a bug or adding a new feature.

> Please always add tests. In general, it is better to wait for consensus on enhancement requests

Thank you for your feedback, @phofl.  I submitted a draft PR to show that the enhancement that I proposed is very easy to implement.  I was planning to add tests, but will need guidance from more experienced contributors to find a place to put the tests.  I was not able to find exiting tests for the `assert_frame_equal()` function.

With respect to reaching the consensus, I am new to the pandas contributors community and will appreciate your advice on the appropriate forum to bring my proposal to. Opening an issue is the correct approach (as you already did). Discussion should happen there. Thanks for the pull request, but it appears to have gone stale. Additionally new features usually need buy-in from the core team in the discussion of the issue before moving forward. Closing until there has been sufficient discussion, but can reopen later.