I personally don’t see what all this machlokes is about. The parents are celebrating the birth of a child, they can celebrate how they want, nothing wrong with saying Tehillim or thanking Hashem for this miracle,(which is being forgotten that each life is a miracle).
I advocate mixed marriages ( Ashkenaz and Sfard) then u have the best of both. I’m Ashkenaz and married a Sfardi, and we have noooooo problem with ALL the different minhagim. When our oldest son was born we had a Shalom Zachar (even though the Sfardim do not have shalom zachars). When my daughter was born, my father made a kiddush in shul in her honor, and we also made a seudah hodaah/kiddush in her honor on shabbas. We eat gebrocht,kitniyot, and rice on Pesach ( I have no problem with that). The Chossen and Kallah see each other before the wedding and take pictures before…..this way the guests at the wedding don’t have to wait an hour after the chuppah for everyone to take pictures. BTW my hubby is from a very frum Sfardi family, and they do celebrate the birth of girls.
So don’t put down other peoples minhagim if u are ignorant about them, and live and let live. no harm done