There is no paradoxical notion there. Expanding the landed class and benefitting the landed class are opposites. Homeownership brings freedom; making freedom accessible is a noble goal, while rewarding only those who already have it is counterproductive. That anyone could believe otherwise smacks of too much time in ivory towers and not enough time in shitty apartment complexes which teach through omission the value of homeownership.
Inflation typically doesnt take into account investable assets, it just accounts for the requirements of daily living. Rental prices is one of those, housing prices are more tangential. Its reasonable to exclude the last.
> it's good for the landed class and hurts everyone else.
If it were cheaper and more people purchased land, then the landed class would be bigger. There is some paradoxical notion to saying the rules you have favors the 'rich' and they should change so there are more 'rich'.