I had a large black cat which would actively stalk and chase Rottweilers, German Shepherds, etc. Their owners quickly learned that bringing their dog past my house on a lead would result in them being dragged along the footpath by a rapidly fleeing dog!
However if my friend walked past my house with her English Setter, the dog would always sit down at the end of my path and bark until my cat went out to meet him. They'd then spend several minutes rubbing their faces together in greeting!