Any growth will yield this "amplification". The given numbers represent about 4% continual growth. This is basically the "forced savings" line of thought, but with numbers attached. The trick is that you are realizing the gains on the entire value of the house, even though you only actually own part of it. Of course, this works
against you if the prices fall, as you also realize all the losses. Which is something many people found out the hard way when their mortgages went underwater in the 2000's.
EDIT: Here's the numbers with -4% growth instead. That $100k house is now worth $67k. You still paid $50k over 10 years, so you walk away with $17k. That $150k house is now $100.5k. So your down payment went from 20% to 17%.
To compare, if we simply had invested $20k into a -4% stock, buying $250 more a month ($30k / 120 months), we end up with ~$19.6k instead of $17k, so that extra $2.6k hit was the "whole amount" penalty paid.