With commuter benefits the employer has to manage everything themselves. If the benefit is a contribution it'll show up on your paystub, but your company needs to either reimburse you the amount (after you have already paid the commute cost personally) or provide you with a transit/benefits card. If it's a pre-tax deduction, it stays in the employer's bank account, again to reimburse you or provide a benefits card.[0]
It doesn't really make sense for this to work any other way. Commuter benefits are pre-tax, so if they just paid you the money outright it would be a pretty explicit violation of tax law. There needs to be a paper trail showing that the benefit money was spent on the actual benefit itself. I imagine their team might be confused by your questions.
[0] https://support.gusto.com/benefits/other-benefits/payroll-de...