Bottle feed will lead to mouth breathing?

We just came back from our first pediatric dentistry appointment. The doctor asked us how the baby is fed. After I told her he’s been formula fed exclusively, they asked me if it’s by choice or if he had trouble latching. I was a bit taken back mostly because I didn’t prepare this for a dentist visit. She then mentioned that baby who is bottle fed tend to have higher palate(and something with the tongue I didn’t catch it) that might lead to mouth breath.

So moms…have you experienced anything similar? Most importantly, do you know if what she said is true???