The H22 doesn't gain 17hp (the 220 figure of the Type S motor output is in Ps, which converts to 217hp) from compression alone, the Type S motor has a laundry list of small changes in parts and tune to provide that extra bit of power.
There is no hard and fast rule to how much a point in compression will give you in terms of power, since it depends heavily on the engine's state of tune at both compression ratios and what fuel is being used. Generally though, you can rely on the fact that 1 point in compression should be worth around 4% more power, with much of that coming at the lower PRM range of the scale. Higher compression pistons really boost idle and low RPM engine vacuum, which also allows you to run bigger cams for magnified high RPM power gains.
If you were to bump compression on any motor running pump gas to 12.5:1, it's my opinion that you'd run into a lot of tuning problems. You just won't see signficant or even reliable power gains and engine running with c/r's over 11.5:1 on pump gas, the tuning required to get an engine to run at those kinds of ratios is not something you can set and forget. And of course you'd also need to do more than just bump compression to optimize the setup, static compression ratio is just one of the many things required for high output NA motors.