I would say it depends on how comfortable you are with the sharing of your baby's photos (because you never know which posts on the social media will go viral).
Another thing to consider would be whether you like the style of shooting by the photographer. Since it is for memory sake, it should be in the style that you like.
Personally, I do not think there is any issue with sharing baby's photos. Spread the joy and let other admire how adorable your baby is. :)
Just my two cents!
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