What LaTeX is
A LaTeX table is a tabular environment: a column specification, ampersands between cells and double backslashes at the end of each row.
Academic papers, theses and anything typeset with LaTeX or written in Overleaf.
What TOML is
TOML is a configuration format with explicit types and a table syntax, designed to be unambiguous where YAML is clever.
Rust and Python projects, and anything with a pyproject.toml or Cargo.toml.
What changes when you convert LaTeX to TOML
The tabular body is read, rules are dropped, and escaped characters are unescaped. Text wrapped in textbf or emph is reduced to the text itself.
Each row becomes an entry in an array of tables. Keys are sanitised to bare keys where possible and quoted where not.
What carries over from LaTeX to TOML
LaTeX records 2 things about a table that TOML has no way to hold.
TOML wants a type for each column, and LaTeX does not record one, so each column is typed from what its values look like. A column of digits that should stay text - a zip code, a phone number, a leading-zero id - is the usual thing to check afterwards.
TOML has no header row. The column names are repeated as keys on every record instead, which is why the result is bigger on disk than the table it came from.
Anything visual in the LaTeX - weight, alignment, colour, column widths - has no counterpart in TOML and is dropped. The values are what survives.
This is the direction that recovers structure: LaTeX has no table in it to read, only an arrangement that looks like one, so the rows and columns are inferred rather than read.
The identifier 007 comes out of the TOML as 007. Reading it as a number would have made it 7, and an id that changes value is worse than one that stays text.
The role "Analyst, data" survives with its comma, in one cell rather than split across two. That is the first thing to check in any converted table, and the usual place a TOML file goes wrong.
The quotes around Jonah "Jo" Pryce are escaped with a backslash in the TOML.