[ALittleLight]

Rich people are less affected by inflation because they have access to investment opportunities that aren't as affected - for example, I'm sure German billionaires have money in American hedge funds. The middle class are most negatively affected by the tax of inflation because they have enough money that having the value of it reduced by inflation is meaningful, but they don't have sophisticated investment instruments to hedge against inflation.

This takes us back to what I wrote originally - why is inflation the way to do this as opposed to just tax and spend? That is, why not create a specific tax and implement that and use the proceeds to pay for poor people's energy? Money printing is just a dishonest way to sneak a tax in on people who might not recognize it as a tax.

[psd1]

The levers don't do exactly the same things; devaluing currency helps exports, for example.

There's also the political cost. I'm in favour of democracy in the ideal case, but obstructionism looks like a concern in some countries, people buy into lying spin and vote against their own interests, bills have their own cadence, and lawmakers are not always intellectual powerhouses. Case in point: the BoE reacted within hours to reduce the damage done by Liz Truss