No it doesn't! The administration doesn't have anything to do with that fee.
It's the unions who make even non-members pay some kind of fee - for what purpose I don't know. I read it somewhere.
But the non-union members will give the CTA a run for their money - they've now formed their own organization.
The unions may have demanded it, but somebody has to do set up the accounting and deduct the money from the paycheck.