I'll have to mull this over for a while.
As a voluntary decision (by buyer, seller, and brokerage company), I see no problem with this concept.
But to take it the level of mandatory for all rental agreements is another matter. For starters, a lot more administration, but computers can take care of a lot of that. And property ownership becomes a little more vague.
With your system, many citizens would not know how they have been building equity for themselves. But it will be useful later on in life.
When you rework and publish this idea, make sure you tag me. I should be able to offer some constructive criticism.