BUG: Inconsistency between `Series[bool].__truediv__(list[bool])` and `Series[bool].truediv(list[bool])`

[cmp0xff]

Pandas version checks

• I have checked that this issue has not already been reported.

• I have confirmed this bug exists on the latest version of pandas.

• I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

# I am on `main`, 945385d09c5c0ca9ba09336ff7727dbe3349697e
import pandas as pd
pd.Series([True]) / [True]  # NotImplementedError: operator 'truediv' not implemented for bool dtypes
[True] / pd.Series([True])  # NotImplementedError: operator 'truediv' not implemented for bool dtypes
pd.Series([True]).truediv([True])  # pd.Series, dtype=float64
pd.Series([True]).rtruediv([True])  # pd.Series, dtype=float64

Issue Description

Series[bool] / list[bool] and list[bool] / Series[bool] are forbidden, but not the method versions.

Expected Behavior

Both approaches should give consistent results or errors

Installed Versions

INSTALLED VERSIONS

commit : f60bf95
python : 3.11.13
python-bits : 64
OS : Windows
OS-release : 10
Version : 10.0.26200
machine : AMD64
processor : AMD64 Family 25 Model 116 Stepping 1, AuthenticAMD
byteorder : little
LC_ALL : None
LANG : en_US.UTF-8
LOCALE : Czech_Czechia.1252

pandas : 3.0.0.dev0+2338.gf60bf958da.dirty
numpy : 2.3.4
dateutil : 2.9.0.post0
pip : 24.0
Cython : 3.2.2
sphinx : 8.2.3
IPython : 9.7.0
adbc-driver-postgresql: None
adbc-driver-sqlite : None
bs4 : 4.14.3
bottleneck : 1.6.0
fastparquet : 2024.11.0
fsspec : 2025.10.0
html5lib : 1.1
hypothesis : 6.148.5
gcsfs : 2025.10.0
jinja2 : 3.1.6
lxml.etree : 6.0.2
matplotlib : 3.10.7
numba : 0.62.1
numexpr : 2.14.1
odfpy : None
openpyxl : 3.1.5
psycopg2 : 2.9.11
pymysql : 1.4.6
pyarrow : 22.0.0
pyiceberg : 0.10.0
pyreadstat : 1.3.2
pytest : 9.0.1
python-calamine : None
pytz : 2025.2
pyxlsb : 1.0.10
s3fs : 2025.10.0
scipy : 1.16.3
sqlalchemy : 2.0.44
tables : 3.10.2
tabulate : 0.9.0
xarray : 2025.11.0
xlrd : 2.0.2
xlsxwriter : 3.2.9
zstandard : 0.25.0
qtpy : None
pyqt5 : None

[zhangbowen-coder]

So,should we just implement the operator versions? If so, I can help.

[cmp0xff]

We need a decision from the core developers before moving on. Series[bool].__truediv__(list[bool]) has just been banned recently.

[zhangbowen-coder]

OK, got it.