Interest rates are a reflection of risk taken on by the lender. Higher rates generally reflect riskier loans.
So if the government is going to take measures to ensure that everyone be coerced to have to pay their loans, then I would expect to be able to refinance for an insanely low interest rate, as this eliminates all risk (save death) on the part of the lender.
Anything short of that is simply a money grab that the GOP is trying to help the student loan lenders perform. (Which this obviously is.)
The end result that they're shooting for, even if they don't acknowledge it, is to disincentivize education and knowledge so as to better reinforce a working class and prohibit class movement from generation to generation.