Cosmology can now read and write to files.
It would be nice to register with Cosmology.write a method for exporting a Cosmology to a HTML table.
There are good examples of IO with Cosmology at https://github.com/astropy/astropy/tree/main/astropy/cosmology/io
and documentation at https://docs.astropy.org/en/latest/cosmology/io.html#cosmology-io

I'm thinking the write_html(...) method would call cosmology.io.table.to_table(), format the table to nice MathJax or something and then call the QTable.write(..., format='html').