Your primary issue is unlikely to at all be related to the structure of your CSV file, or Katalon Recorder loading it, it’s extremely likely to be do with how you parse (input) the values into the web page.
Taking a stab in the dark here (not having access to your web page), it looks like it uses JavaScript events to ‘process’ each entry, whenever you hit Enter.
If it needs that JS to execute in order to allow you to properly input it, then you can try to simulate this via Katalon Recorder (including stuff like using SendKeys to do this) (How to simulate ENTER Key Press in Katalon Studio? - #2 by Luis_alberto_guzman1), and loop these steps (via loadVars/endLoadVars or storeCsv + while/endWhile) to iterate through your list (assuming you have a specific number of columns per line, even if some of the columns on some lines are empty).
The one complication you may have is that if your CSV has a different number of items per line in the CSV and you want to limit how many times it executes that code per line, in order to only loop a set number of times there are a few approaches to that, but others here may have an efficient approach that they could recommend for this particular area.