Hyperinflation doesn't make the price of the currency go up, how can prices double due to hyperinflation? Hyperinflation make the price of a currency go down.
Price of currency goes down means prices of good and services you would buy with the currency go up.
Now go back and reread my earlier replies (and others' ) which explain how Steem Power is protected from the effects of Steem inflation.
High Steem inflation serves a purpose, which is to encourage vesting so people have a long-term incentive to protect their own reputation and the well being of the platform as a whole. Inflation without vesting (and the associated inflation-protection) would be, well, just inflation. Vesting without high inflation or some other incentive would be stupid. The two work together.