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 reStructuredText is
reStructuredText simple tables underline the header with equals signs and align columns with spaces.
Python documentation, Sphinx projects and anything on Read the Docs.
What changes when you convert LaTeX to reStructuredText
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.
The equals-sign rule under the header is what tells Sphinx the first row is a header. Without it the table renders as data with no heading.
What carries over from LaTeX to reStructuredText
LaTeX records 2 things about a table that reStructuredText has no way to hold.
LaTeX can hold a value that is itself a list or an object. reStructuredText has only flat cells, so nested values are flattened into one cell rather than being spread across columns.
Anything visual in the LaTeX - weight, alignment, colour, column widths - has no counterpart in reStructuredText 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 reStructuredText 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 reStructuredText file goes wrong.
The quotes around Jonah "Jo" Pryce are left as a plain quote character in the reStructuredText.