BUG: Hide columns doesn't work

[Hraesvelg]

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Reproducible Example

import pandas as pd

df = pd.DataFrame(1, range(3), ['Look', 'At', 'My', 'Header'])
df.style.hide(axis='columns').to_excel("table.xlsx")

Issue Description

After the generation, the header always appears

i tried many functions in documentation (or stack) and they have no effect...

Expected Behavior

the first line should be hidden

Installed Versions

INSTALLED VERSIONS

commit : 8dab54d
python : 3.8.10.final.0
python-bits : 64
OS : Linux
OS-release : 5.15.0-56-generic
Version : #62~20.04.1-Ubuntu SMP Tue Nov 22 21:24:20 UTC 2022
machine : x86_64
processor : x86_64
byteorder : little
LC_ALL : None
LANG : fr_FR.UTF-8
LOCALE : fr_FR.UTF-8

pandas : 1.5.2
numpy : 1.23.5
pytz : 2022.6
dateutil : 2.8.2
setuptools : 60.2.0
pip : 21.3.1
Cython : None
pytest : None
hypothesis : None
sphinx : None
blosc : None
feather : None
xlsxwriter : None
lxml.etree : None
html5lib : None
pymysql : None
psycopg2 : None
jinja2 : 3.1.2
IPython : None
pandas_datareader: None
bs4 : None
bottleneck : None
brotli : None
fastparquet : None
fsspec : None
gcsfs : None
matplotlib : None
numba : None
numexpr : None
odfpy : None
openpyxl : 3.0.10
pandas_gbq : None
pyarrow : None
pyreadstat : None
pyxlsb : None
s3fs : None
scipy : None
snappy : None
sqlalchemy : None
tables : None
tabulate : None
xarray : None
xlrd : None
xlwt : None
zstandard : None
tzdata : None

[attack68]

Documentation of Styler.hide:

I believe you have to use the DataFrame.to_excel arguments to hide column headers or indexes.