I don’t have either one of those but I was thrilled beyond belief to get my creepy man-horse puppet today from the last mehrathon, so you can maybe divine from that where food making gadget type things fall into my priorities
My blender can’t grate cheese, or slice vegetables, or fine-fluffy grate nutmeg and hazelnuts, or turn biscuit dough, or coarsely chop anything, so, yes, the (very) old food processor.
My blender does make a mean smoothie, but so does the food processor.
Food processor- grate cheese for a variety of dishes. Freshly grated is better then the bags of pre-grated. Grate vegetables. Make guacamole. Blend sauces. My blender broke and my processor solved all my problems