This happens with my doctor's scheduling people all the time. "Hi I'm calling for $YOU, will you please verify the last 4 of your social and full DOB?" uhhhh... no I will not, random person
My doctor office required me to provide my DOB before I can schedule an appointment or questioning over the phone. My pharmacist required my DOB before I can get my meds from them. If I don't provide my DOB, they will turn me away and assumed that I'm a scammer.