Online motel bait and switch pricing.

I'm driving down to Augusta GA area on Thursday to deliver a car and was checking motel prices. So I see some fairly reasonable rates starting at $33,



but when I click on the listing, none of them have that rate,



I know they add taxes and fees, but still, the base rates are not what is first listed. And why can't you book a room with them directly? I didn't find a website for the motel. Wouldn't it be cheaper if they didn't have to pay a fee to the listing agents?