Asset and good inflation aren't the same kind of thing because you won't die if you can't buy a stock, and you can buy any fraction of a stock not just one share these days. (Although the second one is a reason they've gotten more expensive.)
Homes are a special case, but it's entirely possible for the purchase price of homes to go up while rent doesn't.
Homes are a special case, but it's entirely possible for the purchase price of homes to go up while rent doesn't.