In large part I feel like that phenomenon emerges from how significant a good degree can be on your future income. For many people its the best investment they make - $200k with interest and four years now for several million of extra income over their working years.
So if you raise loan allotments and grants more people are now eligible to go to a very restricted and finite pool of schools, especially "top" ones, the first response will be a price rise because the supply of admissions into desired schools doesn't go up at all.
What should happen in a naive sense is that with more money available for quality education top schools would expand their enrollment and more top schools would emerge, but respectively for the former there is a strong NIMBYism in making a school less "exclusive" and for the later go ahead and try to found a new Ivy League University in 2019.
With UBI the market for most of the goods a UBI is meant for, in particular food, power, and amenities are all much more responsive markets. Prices go up for a moment but higher prices means more profits per unit which attracts competition and scaling up production to meet increased demand.
The exception of course is housing because the housing market is anything but a free one, especially in the US. But in the same way addressing the university "gatekeeping" epidemic of prestige and exclusivity cannot be solved by jamming money into those without access you similarly cannot just dump money on the poor and expect housing to arise without fixing why the economy is jammed when it comes to meeting demand for housing.
UBI isn't a panacea to decoupled problems in the economy. It only works for goods actually operating in a free market where the increased demand can attract investment and growth to meet it. A lot of things, including medicine, housing, infrastructure, and education do not operate in a free market and thus adding or subtracting money from any given group to try to get it for them isn't going to work. But it can work for things like furniture, clothing, etc.