Could you explain this a bit more? What law/regulation would make this illegal?
As others have stated, the icon-heavy UI could use some work, but I'm having a hard time seeing how that could violate anything.
Once upon a time, AA owned SABRE and all the flight information was in the one GDS (Global Distribution System). Then somebody at SABRE got the bright idea to preference the order so AA flights were always on the first page and all other airlines were on the second page. Most bookings were made from the first page.
This was then made illegal and they said some gobbledy-gook like: "you can't preference the display, you have to show a reasonable number of flights, all in the same format, and sorted by time, price or duration".
Or something. I can't find a reference to it, but it had to do with SABRE's virtual monopoly on global travel distribution (inventory, agents, etc) and regulation / de-regulation of the travel industry.
For example if we fail to show that a flight on one carrier is operated by a different one (very common for some routes) they can fine us tens of thousands for each one we get wrong. A very strong incentive to be careful!