Could a “gravity battery” work in a residential home?

Full story: https://engineering.purdue.edu/ME/New...
Sustainable energy sources like wind and solar present a challenge: how do you store excess energy during periods of overproduction for when you really need it? Some large-scale utilities have turned to mechanical energy storage: lifting heavy weights or pumping water uphill into a reservoir. Once that energy is needed, the weight is released and its mechanical energy powers a generator that produces electricity. These mechanical batteries have been proven to work on a large scale, but never at the scale of a single residential home. A team of Purdue University undergraduates undertook a study to investigate whether a “gravity battery” could be made small enough to fit into a single-family home.

Feasibility of Gravity Batteries in Residential Homes: A Case Study https://docs.lib.purdue.edu/cgi/viewc...
DC Nanogrid House: https://engineering.purdue.edu/ME/New...
Herrick Laboratories: https://purdue.edu/herrick
Mechanical Engineering: https://purdue.edu/ME