It's showing its age unfortunately. For my last set of flights often the price displayed was not available after clicking through on google or on the airline's booking page and flight combos on the airline's sites that I was looking for wouldn't come up in the search :/
There isn't any money in building api for a platform somebody else owns. At best you do a travel management system for corporate stuff. That kind of a startup definitely exists, funded by YC about ten years ago