It’s better to go with the homemade dough when using cookie cutters. This way you can control the consistency of your dough and make any changes necessary with your ingredients. If you’re short on time, you can still use the prepackaged dough.
However, you may find this may be stickier than normal due to the preservatives they use to help the dough keep for longer. This can cause some problems when forming shapes. Be sure to coat your cutter and prepping the surface in plenty of flour to prevent the dough from sticking.