BUG: printing a dataframe creates warning because of initializing _cache attribute

[mvashishtha]

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Reproducible Example

import modin.pandas as pd
df = pd.DataFrame([1])
print(df)

Issue Description

This is a regression caused by #5311. pandas cache_readonly sets _cache to a dictionary of cached values, and Modin doesn't recognize that _cache is a special name.

Expected Behavior

No warning

Error Logs

UserWarning: Modin doesn't allow columns to be created via a new attribute name - see https://pandas.pydata.org/pandas-docs/stable/indexing.html#attribute-access

Installed Versions

INSTALLED VERSIONS

commit : 2bb9a1f
python : 3.8.13.final.0
python-bits : 64
OS : Darwin
OS-release : 21.5.0
Version : Darwin Kernel Version 21.5.0: Tue Apr 26 21:08:22 PDT 2022; root:xnu-8020.121.3~4/RELEASE_X86_64
machine : x86_64
processor : i386
byteorder : little
LC_ALL : None
LANG : en_US.UTF-8
LOCALE : en_US.UTF-8

Modin dependencies

modin : 0.17.0+70.g2bb9a1fa
ray : 2.1.0
dask : 2022.12.0
distributed : 2022.12.0
hdk : None

pandas dependencies

pandas : 1.5.2
numpy : 1.23.1
pytz : 2022.1
dateutil : 2.8.2
setuptools : 61.2.0
pip : 22.1.2
Cython : None
pytest : 7.1.2
hypothesis : None
sphinx : 5.1.1
blosc : None
feather : 0.4.1
xlsxwriter : None
lxml.etree : 4.9.1
html5lib : None
pymysql : None
psycopg2 : None
jinja2 : 3.1.2
IPython : 8.4.0
pandas_datareader: None
bs4 : 4.11.1
bottleneck : None
brotli : None
fastparquet : 2022.11.0
fsspec : 2022.7.1
gcsfs : None
matplotlib : 3.5.2
numba : None
numexpr : 2.8.3
odfpy : None
openpyxl : 3.0.10
pandas_gbq : 0.17.7
pyarrow : 8.0.0
pyreadstat : None
pyxlsb : None
s3fs : 2022.7.1
scipy : 1.9.0
snappy : None
sqlalchemy : 1.4.39
tables : 3.7.0
tabulate : 0.9.0
xarray : 2022.6.0
xlrd : 2.0.1
xlwt : None
zstandard : None
tzdata : None