I assume you’re referencing the [guide|103129|Ifixit screen replacement guide]. Normally a display assembly contains everything, being the front glass panel, LCD display and the digitiser to register your touch. The repair shop might have been trying to only fix the broken glass panel (if you LCD & Digitiser were okay) but came to the conclusion that also the digitiser is broken.
So indeed, if you are able to source a complete display assembly, the digitiser issue will be fixed.