You can't have positive real rates AND pump up the real estate bubble.
There are two parts to growth - population and actual growth.
The majority of "actual" GDP growth for the last 20 years in the West has been people paying more money (inflation adjusted) for the same land.
Why? Because you could! Interest only went lower.
Positive real yields mean people need to actually work instead of speculate on real estate. Most people would rather just speculate on real estate. It's so much easier.
Unfortunately, it's a zero sum game. The losers are renters.