Tiny short term changes either way will not be enough to drastically alter people’s behavior. If those changes are long term and predictable they will absolutely change people’s behavior. 2% may not be much year over year, but over a 30 year mortgage you can expect to take a bath on any house you buy, even with 1% interest rate. And people, rich and poor, do horde cash when they think that returns are going to become negative. In a very mildly deflationary world this happens much more often than in an inflationary one.
Send everyone 12 dollars.