Are you planning to have children with him? If so, and if he's stingy and mean generally, that's what you can expect from him as a father.
You'll see lots of posts on here from exhausted women who feel they can't do anything right.
If they’re stay at home mums, their husband complains about the financial weight on his shoulders.
If they're part time, she's told she needs to go full time.
If she's full time, then she needs to get a promotion.
In all these cases, he doesn't outline exactly how he intends to step up because what he wants is for her to do it all. The earning and most of the childcare.
Instead of seeing her and his own children as part of the same team, he views them as a separate team, and they're taking advantage of his noble self and always draining his wallet, poor soul. Those men are stingy and selfish, and will never be on anyone's side, except their own. That's why they're always counting pennies and being pedantic.
Careful you don't end up with on of those. I appreciate it's a lot to extrapolate, but these little things can tell you a lot about a man at the beginning of a relationship. He should be looking for ways to fill your cup, not watching his shoulder all the time, making sure he gets what he wants.
Also, don't listen to nonsense about being an only child. Don't fall into the trap of thinking that this could be upbringing. Things like this are an ingrained biological personality traits.