This sounds like a rumor to me. Plenty of people (including me) have no social media presence (unless you count HN as social media). How do you know that the person on whatevergram with the same name is me?
I have a few social accounts, but no apps installed on my primary, 2.5+ year old S21. I prefer to visit via browser (firefox, mostly).
So your "burner phone" needs to be your primary phone, which is something that is hard to go back in time to fix.