Any college needs to be somewhat need aware over the entire student cohort for both budgeting and mission purposes (the latter may cause a college to try to tilt toward more financial aid need if it can afford it, if the mission is to serve the underserved). After all, isn’t that what enrollment management is (partially) about? This does not necessarily mean basing an individual applicant’s decision on assumptions of the individual’s financial aid need.
Even pure stats based admission can have different weightings of GPA, rank, and SAT/ACT scores that affect the overall level of financial aid need.
Of course, open admission or minimally selective colleges may not be able to do much here through admission, though they may choose their marketing targets with that in mind.