BUG: Allow list-like in DatetimeIndex.searchsorted
- [x] closes #32762
- [x] tests added / passed
- [x] passes `black pandas`
- [x] passes `git diff upstream/master -u -- "*.py" | flake8 --diff`
- [x] whatsnew entry

> ideally as a followup we test things like IntervalIndex as well for this behavior (pls create an issue)

Created https://github.com/pandas-dev/pandas/issues/32845 > this seems to overlap with #32874 can you clarify?

Yeah, that's me confusing myself working on duplicative branches. I could try merging that one into here, hope I don't break things, and then close the other (it was originally only intended to add testing code)? > > this seems to overlap with #32874 can you clarify?
> 
> Yeah, that's me confusing myself working on duplicative branches. I could try merging that one into here, hope I don't break things, and then close the other (it was originally only intended to add testing code)?

yep one branch is fine (tests & changes) thanks @dsaxton 

I think we need to collect the index searchsorted tests and separate them out, but a separate exercise.