I don't have a problem with someone taking time off after the birth of a child, hell they could take 6 months off following the birth for all I care. Or taking leave for legitimate reasons, child is sick and needs urgent medical attention, need to take a day here and there for appointments to ensure the child is well and taken care of, that kinda thing.
I do have a problem with someone who has a child early in the year, in this case January, and in June/July decides they're going to take time off in December just because they want to spend time with the child and the law allows it. It's this kinda use(abuse) of the law that causes people to think badly of people who use the law properly.
If this were the end of November and the child got sick and the parent needed to use FMLA to care for them and they ended up not being at work for most/all December I doubt anyone would raise any serious objection beyond annoyance a coworker wasn't there and might have to pick up extra work.