While searching for issues through JQL queries, you can manipulate Elements Connect customfield to better filter your results.
Specific case of table component
If you have a table field in your issue, you can filter according to the content of your table columns.
To do so, you can access the column as an attribute of your table field writing e.g. myField.Col1. As table are limited to 5 columns, you can navigate through all of them with Col1, Col2, Col3, Col4, and Col5.
In example below, field Table contains issues keys (Col1) and associated issues summary (Col2).
Note that for display simplicity, you are only provided with the first line of the table in the JQL results.
If you changed the order of your columns in your field configuration but did not updated your issues using e.g. post functions, you may not get the same mapping in create/edit or JQL search view.