Is it weird?

Haley

So my bf has a 16 month old son from a previous relationship (the girl lied about being on birth control). I love his son and he follows me everywhere I go. When we all 3 go out in public everyone mistakes him as my child and for some reason it makes me uncomfortable so I usually let them know he isn’t mine. My boyfriend tells me to play along with it but it just makes me feel weird. What’s you’re guys opinions?