It really is a good question. It has come up before. No offence, but the USDM CX-5, which features the same 13:1 compression ratio, has been on the market for well over a year now. It is designed to operate on regular gasoline. No issues from owners operating their 2.0l S-G CX-5 on 87 octane. I have had mine since March 2012, and it now has over 20K miles, with nothing but 87 octane ran through it. It runs great.
As far as engineering used in their design, they implemented a few temperature reducing elements, in order to avoid knock. These parameters include: direct fuel injection (atomized fuel actually cools the charge), a cavity on the piston top (cavity contains high temp initial ignition below plug), a high flowing 4-2-1 exhaust manifold (ensures hot exhaust temps evacuate the cylinder as quickly as possible), reduced engine friction, and electronically controlled variable valve timing, for quick a precise timing adjustments. Generally, the longer exhaust gases remain in the cylinder, the more heat that is transferred into the engine components.
I think you’d be wasting your money by filling up with mid grade, or premium. There would be no performance benefit. The only possibility with premium would be better assurance that the knock sensor wouldn’t “hear” pinging, resulting in knock retard of the timing advance.
Just make certain that you buy good gasoline. With 87, there’s not a lot of leeway, if you do happen to pump in a bad batch of gas.