You can run it on crap fuel. going to mexico anytime soon? Your bike will run just fine on what they sell there.
In the US, you can run it on the lowest octane (cheapest) gas at the pump. Keeps more money in your wallet.
That's really all it means. Fuel economy comes from your right wrist more than anything else. Most bikes can easily get 40mpg if ridden with economy in mind. Some quite a bit more, but that has more to do with weight, gearing, aerodynamics, speed, use of acceleration, etc than compression ratio.
Higher compression alone does not automatically equate to higher RPM, higher fuel economy, or anything else. It's simply a measure of the combustion chamber pressures. Compression ratio taken together with all of the other parameters of an engine, can mean better or worse fuel mileage, more or less power, more or less torque, more or less driveability, etc. Mostly what it means for you as an end user is what octane of fuel you need to use. Low compression ratio generally means low octane fuel can and should be used. High compression ratio (generally over 10:1 or 11:1 means you need to be using a higher octane fuel to prevent knocking and damage to the engine.
Engines with turbos or blowers have lower compression ratios for a variety of reasons. High RPM engines often have high compression ratios for a variety of reasons. Big VTwins with oversquare combustion chambers often have low compression ratios for a variety of reasons. Engine architecture is very complicated and any one change usually means a variety of other changes for that combination to work in that engine.
If you really want to learn about all this stuff, start reading about how engines are made. Follow their history. Follow the early builders and what they found worked and what didn't work and why. It's rather complicated, but fascinating.