The article debunks this:
"The claim that increased student aid causes tuition to rise was originated by William Bennett, the secretary of education under Ronald Reagan, in a 1987 New York Times opinion piece.19 Numerous academic studies since have tested the Bennett hypothesis, and though a few have found some link between rising aid and tuition in at most one sector of higher education,20 the vast majority have “…found not a shred of evidence of an empirical relationship,” as David Warren wrote in the Washington Post.21 As Warren notes, three major federal reports in the last fifteen years have each surveyed the existing academic literature, and each concluded that no such relationship exists.
The most recent, conducted by the Government Accountability Office (GAO) in 2011, took advantage of a unique “natural experiment” to test the Bennett hypothesis: the substantial increases in Stafford Loan limits between 2007 and 2009.22 In 2007, the yearly loan limits, adjusted for inflation, ranged from $2,925 for freshmen to $6,125 for upper classmen. By 2009, they had risen to $5,750 and $7,825, respectively. All told, the yearly borrowing limit for all undergraduates increased by an average of $2,340. However, average tuition at public 4-year universities rose by just $540 over the same two years, in line with recent historical averages, leading the GAO to reject the possibility of a relationship between the two. Additionally, these increases in borrowing limits were the first since 1993, meaning that the inflation-adjusted value of the limit had declined for more than a decade during which tuitions rose steadily. All told, both the empirical evidence and academic consensus deem the Bennett hypothesis false."