Salam
In my opinion it wouldn't. But also it shouldn't be one of the ways of making distinction between prophets. So, what really matters is the "intention" of that person naming the child. By the way, as a reminder: one of the children of Prophet Muhammad (pbuh) was named Ibrahim.
I also think "making distinction between prophets" has two meanings:
1. Attributing superiority to one prophet above others in the sense of his characteristics, morals or his closeness to Allah (swt).
2. Believing in one prophet and denying the other as mentioned in 4:150 :
"Indeed, those who disbelieve in Allah and His messengers and wish to discriminate between Allah and His messengers and say, "We believe in some and disbelieve in others," and wish to adopt a way in between..."
Take care inshaAllah.