The benefit of mild inflation, to phrase what you wrote a little differently, is that it encourages people to create assets with substantial intrinsic value as a way to dispose of currency. Everyone wants to own as little currency as possible. There are many positive externalities to asset creation.
I disagree.
This 2,5% is just pocketed by yhe central bank.
People shouldn't be penalised for saving money.
"Oh, but just invest it!"
With investment comes risk. Why shouldn't people be allowed to save without risk or having their savings melted by lost purchasing power through inflation?
Inflation is a hidden tax and theft of those furthest from the newly "minted" money to benefit those that are closest to the source i.e. banks and large borrowers.