So I've only dated 1 Chinese guy. It was a couple of years ago; the guy was from Hong Kong but had spent about 10 years in Canada, he was definitely what you would call "Westernized". Seemed cool. But yeah, after a week or so he started talking about how it doesn't matter whether our first child was a boy or a girl, and his mother would help raise it so I could keep working, etc. I freaked out and stopped talking to him, and he went a bit stalkery and texted me dozens of weird messages a day for awhile. I ignored him so eventually he stopped.
In his defence though, I was still new to China and didn't understand the cultural difference. Honestly I understand now where they're coming from; if one's ultimate goal is to get married and have a family, it doesn't make sense to waste a bunch of time dating someone who's not on the same page. To my American mind though, it just seemed loony. Oh well. Maybe have a quick talk with him about how many calls or texts a day you think is appropriate? Good luck!