Her response is this:
"It seems that the text which was passed to us by an employee was in fact from the Tkpp.pl programme, not the module itself. In that case a re-reading of the actual PAR distribution and the Artistic License confirms what you have been told.
If the text we were given was in fact from the PAR distribution, not from just one component of it then the interpretation we discussed earlier would have been irrefutable.
In the case of the payment processing module, their license is clear - you can distribute it as part of any application provided that your application only attempts to use it to communicate with their servers and no others."
So, my apologies colleagues, I was mistaken as to the source of the license term cited. Thus their is no reason to choose one over.