Obviously this applies to adult children but it's something i've come across a lot and never really understood it, is it because parents feel some sort of ownership over their kids bodies or is it something different.
This isn't a brag or anything but my mum's never been bothered, she has 2 tattoos herself with extremely sentimental meaning (although i think people should get tattoos whether their sentimental or not) and for my sister's 18th she even paid for her to get one as her birthday present.
I understand not liking tattoos on yourself but demanding your adult children don't get them or even talk them out of getting them I think is rather rude when their paying for them themselves with their own money. My aunt used to ask my cousin to cover hers up just because she hated it (it was a flower on her back so it wasn't like the tattoo was offensive.)
I'm not trying to judge truly I personally just find it strange