Tuition is the act of teaching... I sure hope they aren't eliminating that. It is indeed the fees that are being eliminated.
Tuition = the money you pay for your schooling, I.e., credit hours.
Fees = Costs on top of tuition like registration fees, application fees, and other miscellaneous charges that aren’t represented in the per-credit hour price of school.
If you told someone in the US that their school was eliminating fees they’d take that to mean that they were getting a small discount on a still-very large cost. Think in the realm of $30-100 per semester.
American English has basically detached the word “tuition” to have anything to do with the teaching.