With generic/text only as a printer, the job should have been sent the number of times you told it to print; much like an old teletype system. The printer is assumed not to know about the number of copies to print.
Your one hope is that, in most of the network printer properties pages is a checkbox to "use the host system for print processing" (or rendering) which means it sends the job to the host computer's spooler and lets that handle the printing. You might have to dig a little to find it; but, if it is there, uncheck it!