BUG: Series ops with object dtype may incorrectly fail
- [x] closes #13043
- [x] tests added / passed
- [x] passes `git diff upstream/master | flake8 --diff`
- [x] whatsnew entry

This must be after #13069.

## [Current coverage](https://codecov.io/gh/pydata/pandas/pull/13072?src=pr) is **84.14%**

> Merging [#13072](https://codecov.io/gh/pydata/pandas/pull/13072?src=pr) into [master](https://codecov.io/gh/pydata/pandas/branch/master?src=pr) will increase coverage by **+<.01%**

``` diff
@@             master     #13072   diff @@
==========================================
  Files           137        137          
  Lines         50287      50239    -48   
  Methods           0          0          
  Messages          0          0          
  Branches          0          0          
==========================================
- Hits          42312      42272    -40   
+ Misses         7975       7967     -8   
  Partials          0          0          
```
1. 4 files (not in diff) in `pandas/tseries` were modified. [more](https://codecov.io/gh/pydata/pandas/commit/f814410ae92ff92d0775a4c1a597e4f6f1c5c09d/changes?src=pr#70616E6461732F74736572696573) 
   - Misses `-4` 
   - Hits `-26`
2. 2 files (not in diff) in `pandas/io` were modified. [more](https://codecov.io/gh/pydata/pandas/commit/f814410ae92ff92d0775a4c1a597e4f6f1c5c09d/changes?src=pr#70616E6461732F696F) 
   - Misses `-3` 
   - Hits `-3`
3. 2 files (not in diff) in `pandas/core` were modified. [more](https://codecov.io/gh/pydata/pandas/commit/f814410ae92ff92d0775a4c1a597e4f6f1c5c09d/changes?src=pr#70616E6461732F636F7265)
4. 2 files (not in diff) in `pandas` were modified. [more](https://codecov.io/gh/pydata/pandas/commit/f814410ae92ff92d0775a4c1a597e4f6f1c5c09d/changes?src=pr#70616E646173) 
   - Misses `-2` 
   - Hits `-22`

> Powered by [Codecov](https://codecov.io?src=pr). Last updated by [43989fd...f814410](https://codecov.io/gh/pydata/pandas/compare/43989fd7cb9917e885c2b55a172c4f9f3838d59d...f814410ae92ff92d0775a4c1a597e4f6f1c5c09d)
