except that, yes, it is. That's literally what "inviting" means.
From google:
make a polite, formal, or friendly request to (someone) to go somewhere or to do something.
From cambridge:
invite verb [T] (ASK TO AN EVENT)
to request something, especially formally or politely:
to act in a way that causes or encourages something to happen or someone to believe or feel something:
From MW:
a: to offer an incentive or inducement to : ENTICE
b: to increase the likelihood of
invite trouble
2a: to request the presence or participation of
b: to request formally
c: to urge politely : WELCOME
Are you thinking of the etymology @FrauHaribo? That's not the same as the meaning. Even if you are assuming it comes direct from 'engain' (which is disputed) then the root of that is to pursue (i.e. pursuing someone to come to something) not the financial meaning of giving them something.
never heard of the opposite!
I believe you. I presume you grew up quite wealthy compared to me. It is weird that you don't believe the many people who have already stated that your expectations are not universal. Frankly I find it odd that anyone would need to be told that this can't be a universal cultural norm, let alone keep insisting it.