On your suggestion, I have added tableonly option for exporting a table when the file format is .tex. This option specifies that only the table be exported to the specified file. Therefore, the exported .tex file will start at \begin{tabularx} and end at \end{tabularx}.
To update to the latest version, type:
asdocx_update
The latest version as of now is
*! asdocx : June 18, 2021: Version 1.6.5 : tableonly option for LaTeX |