Yes the cost is the same. The fees are to prepare the return whether you efile or print and mail it. But if you want to have the fees deducted from your refund there is an EXTRA $40 Refund Processing Service charge so maybe your refund wasn't big enough to cover that too.
How to pay the Online fees
https://ttlc.intuit.com/community/payments/help/what-forms-of-payment-does-turbotax-online-accept/00...
How to see your fees
https://ttlc.intuit.com/community/charges-and-fees/help/how-do-i-review-my-fees-in-turbotax-online/0...
For help with fees
https://ttlc.intuit.com/community/charges-and-fees/help/what-can-i-do-to-reduce-my-fees/00/26051
