Describe the bug

As per title. I specify sphinx as a docstring_style option but the handler is rendering as per Google instead of Sphinx. (Ignoring my option specification).

To Reproduce

Steps to reproduce the behavior:
Following usage instructions here: https://mkdocstrings.github.io/python-legacy/usage/#usage

1. pip install mkdocs mkdocs-material mkdocstrings mkdocstrings-python-legacy. See my pip freeze output at the bottom.
2. Noting that the documentation mentioned the "accepted docstring_style are: google, numpy, sphinx, or None. Default: "google"". Create mkdocs.yml:

   site_name: "sample_proj"
   watch:
     - sample_proj
   theme:
     name: "material"
   plugins:
     - search
     - mkdocstrings:
         handlers:
           python:
             options:
               members:
                 - my_function_google
                 - my_function_sphinx
               docstring_style: sphinx

3. Python functions for testing

   def my_function_sphinx(param1: int, param2: Optional[str] = None) -> str:
       """A short description of this function.
   
       Complex markup is supported in the main description section.
   
           I'm a code block!
   
       :param param1: An integer?
       :param param2: A string? If you have a long description,
           you can split it on multiple lines.
       """
       return f"{param2}{param1}"
   def my_function_google(param1: int, param2: Optional[str] = None) -> str:
       """A short description of this function.
   
       Complex markup is supported in the main description section.
   
           I'm a code block!
   
       Args:
           param1: An integer?
           param2: A string? if you have a long description,
               you can split it on multiple line
       """
       return f"{param2}{param1}"

4. mkdocs serve.
5. The function with Google docstring style is rendered correctly and sphinx not, despite me specifying sphinx in the options. I tried changing sphinx -> restructured-text in mkdocs.yml and same problem.
   

Expected behavior

Param table for sphinx style to be rendered normally.

Screenshots

Note that the docs itself is also rendered wrongly, it seems. https://mkdocstrings.github.io/python-legacy/usage/#annotations_1

System (please complete the following information):

• mkdocstrings-python (legacy) version: 0.2.3
• Python version: 3.9
• OS: MacOS

Additional context
Add any other context about the problem here.

pip freeze

certifi==2022.12.7
charset-normalizer==3.0.1
click==8.1.3
colorama==0.4.6
ghp-import==2.1.0
idna==3.4
Jinja2==3.1.2
Markdown==3.3.7
MarkupSafe==2.1.2
mergedeep==1.3.4
mkdocs==1.4.2
mkdocs-autorefs==0.4.1
mkdocs-material==9.0.6
mkdocs-material-extensions==1.1.1
mkdocstrings==0.20.0
mkdocstrings-python-legacy==0.2.3
packaging==23.0
Pygments==2.14.0
pymdown-extensions==9.9.2
python-dateutil==2.8.2
pytkdocs==0.16.1
PyYAML==6.0
pyyaml_env_tag==0.1
regex==2022.10.31
requests==2.28.2
six==1.16.0
urllib3==1.26.14
watchdog==2.2.1