Princeton: you got the aid because, per their need-only formula, you had the need. The same won’t apply to all admits.
And of course, a state school with poor FA to begin with, can’t offer much. Nothing odd in that.
Let’s also be aware that, in most cases, when you take an offer from one uber generous college and ask a second uber generous college to match it or increase what you originally got, it’s generally not tens of thousands added.