I've done OK by USING inflation over the years. If you can't fight it join it and use it. Inflation is helping pay off a home loan. It doesn't help pay the rent, it increases the rent.Sorry, but I am JUST amazed when you put out the claim that "inflation makes them richer".
There is one exception though, you can try asking the poor billionaires in Zimbabwe. Inflation does not make anyone rich, it is a hidden tax from the government and everyone will become worst off.
While house prices do increase nominally over the "very" long term, it only ever traces with average inflation/wage growth. If your definition that inflation would make them richer, then you better pray that we should experience a hyperinflation and make everyone own a trillion dollar house.