That is not a Uniden America product (UBC3500XLT). Our customer support will not know the answer to your question.
That said, it appears to be electrically similar to the BCD396T, so that cable will almost certainly work.
We have no product samples or documentation for this model variation at Uniden America. For a definitive answer (assuming no one here knows), you should ask in the UBC3500XLT Yahoo group or to the Uniden Europe Liaison Office:
Ettenhoven 108 B-2940, Hoevenen, Belgium