Let's talk about hypothetical situation.
You and DP can't agree on name. DP has one favorite, you the other name. DP suggest you use one name as first name and other name as middle name. You agree to idea, but DP wants his favorite as first name - meaning DC will mostly be called by his first name by default.
Would you accept to this terms? And would you rather your pick gets as first name over your partners?
This is a thing in USA, if both parents can't agree to the name before baby is born and before the deadline, they can end up in court - court then decides on name, but standard practice is to use both parents picks to create first+middle+surname.