Not quite. Many people (eg commuters) have monthly train passes, almost all students have a "Semesterticket" (university enrolment is about 350 EUR every half year, but that includes all public transport in the region).
Now, the 9-Euro-Ticket is cheaper than those options, so out of fairness the holders of all those tickets are getting a refund of 3 months worth of their pass minus 3x9=27 EUR, which is a huge administrative burden for the public transport providers and universities. That substantial burden would not have been reduced by having the ticket for free.