Basically yes. The Online version is completely separate from the Desktop program. You need to pay for Online federal and state. Unless they qualify for the Free Edition .
The Desktop program you buy and install from a download, which can do unlimited returns. The returns are only saved on your computer and can not be accessed from anywhere else. And not saved at Turbo Tax. So Be sure to save Frequently and make backups. You get 5 federal efile for free. In Deluxe and above you get 1 state PROGRAM download to prepare unlimited state returns (in that state). Then Each state return including the first one is $25 to efile or you can print and mail the state for free.