DEPR: Enforce deprecation of silent dropping of nuisance columns in agg_list_like
- [ ] closes #xxxx (Replace xxxx with the GitHub issue number)
- [x] [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
- [x] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [x] Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) to new arguments/methods/functions.
- [x] Added an entry in the latest `doc/source/whatsnew/vX.X.X.rst` file if fixing a bug or adding a new feature.

It seemed to me we'd lose test coverage with some of the tests if we just were tested these ops raised. So I split some into testing without the nuisance columns and with them.

small question, otherwise LGTM.  looks like CI failures are unrelated cc @mroeschke merge when ready @rhshadrach are you planning to do the other nuisance-columns ones? @jbrockmendel - yes, happy to take them all.