How common is it to receive letter from admissions asking you to apply, out of the blue?

This is only semi-related but perhaps helpful as it goes to the question of personalized outreach and what, if anything, can be read into it.

The Princeton admission office invites around 150 secondary schools to nominate one senior per school to be considered for the Creative Arts and Humanities Symposium held in October (before applications are due). About 90 kids are invited from the group of 150 nominations and all travel/food/housing expenses for the weekend are covered. There is no requirement that the students being invited to the Symposium apply to Princeton, but reading between the lines it is pretty clear that Princeton uses the Symposium as a recruiting opportunity.

I don’t have any idea if other Ivies have a similar “recruiting” programs (I know that Yale has a winter STEM recruiting weekend for likely admits - I think it’s called Yale YES-W and you should be able to find threads about it on CC) but perhaps other posters have information.