Not quite.
The booking belongs to the agent, so any changes or payments still have to made by him/her only. And you will have to contact him/her for that .
He/she will have paperwork to do for your booking, and often will not collect the commission for months after she/he completes your booking. It depends on the sail date: book a cruise today for next April, and the commission from HAL will come in February. But the agency is paid first, and after they take their share, the agent is paid. So he/she will have waited nearly a year to receive the commission on your booking. Travel agents are the first to be solicited for business by cruise lines, hotels, etc., and the last to be paid.
If you cancel your reservation, the agent gets nothing from you, unless he/she charged you a non-refundable planning fee, which many do to protect themselves. If the agent has been paid the commission, and you have to cancel, the cruise line recalls the commission and takes it back from the agent.
I can understand why you've been through so many agents. If you just want an order taker, consider joining an agency as an independent contractor, book your own cruises, and earn your own commission.