I looked at the original listing of
https://www.ebay.co.uk/itm/293421075479And I had a much better understanding of….
1. Your belief that the 9 pin cable is special.
2. the supplied software
I think that your expectation that the cable needs to be reverse engineered is overkill.
It’s a regular 9 pin RS232 null-modem cable (where Tx->Rx and Rx->Tx), rather than a ‘straight’ cable.
That’s probably the only thing that is special about it.
The application probably requires the signals…..
Data Terminal Ready and the response Data Set Ready also
Request To Send and the response Clear To Send, to be conveyed.
Your Polar Instruments T4128 should not care if Carrier Detect and Ring Indicator are in the cable or not (they are tied up locally).
These signals are obsolete (and unnecessary if you are not using modems to dial across the PSTN).
I don’t envisage a problem with your USB to RS232 converter/dongle.
The application software will probably require you to set a particular port number and baud rate.
Good luck with the kitchen extension.