Sadly this innovation won't work near as well on the BTC chain unless usage continues to plummet. As we've seen in the past, the slightest short term increase in transaction demand results in fees so high that most outputs in the utxo set become unrecoverable (the fee becomes greater than the value of the output). This leaves the BTC utxo set unmanageable and unpredictable.
Although the utxo set on BCH grows at a much greater rate, the 32mb block size makes it so that outputs can be inexpensively consolidated, regardless of short term transaction demand.
That being said, Lightning Network could potentially allow this innovation on BTC if it's able to successfully move transactions off chain. With the trouble they've been having with regards to routing and payment channel requirements, I wouldn't be HODLing my breath.