April-May in the US has following benefits:
-out of pocket maximum expenses are capped per calendar year. Typically, healthcare expenses for births happen in the latter half than former, and so you can potentially save a few thousand dollars, and even up to $17.4k (legal max). Post birth complications are plenty, and pelvic floor physical therapy does wonders. Not worrying about costs for these is a huge benefit.
-new resident doctors start in June, so you have less risk of a brand new doctor in April/May when they would have had 10 months of experience
-kid would be 6 months of age by winter season, so eligible for flu vaccine, and now Covid vaccine too during their first winter
-lots of schools have hard cutoffs at Aug 31 or around there. Birthdays before then, kid is in school, and after that, kid has to wait another year to start school. This could mean 6+ months of fewer daycare expenses, easily worth $10k