Unfortunately, many people equate "printing money" with inflation, which is too simplistic.
That said, all those monetary grants could lead to excessive demand which leads to inflation, especially in sectors of the economy that are not competitive. Whether it actually would lead to inflation and, more importantly, to how much is a question that needs to be answered empirically.
Essentially you seem to be saying that creating a more equal society results in higher inflation. I don't see your argument being supported by reality, I am not aware of studies showing that the North European countries have statistically higher inflation.