I’ve yet to meet a person doing hiring that has admitted they choose blindly based on undergrad institution. In my experience, they all have stories of people who came from top undergrads that ended up laughably bad applicants, and then of other people they found at less prominent undergrads who ended up fantastic hires.
Anyway, I do think “career services” is one of those student service categories that US students might take for granted and that may be far more rudimentary, or practically non-existent, at some non-US universities. I don’t think that makes it impossible to get a good job, but it might require a lot more self-education and hustling in some cases.