Not a viable solution today: the problem is not fridges in active use in houses, it's fridges in people's backyards/dumps/barns/whatever where they are no longer plugged into anything.
A battery could presumably power it long after being unplugged. But you're right - That article basically states that the problem was solved in 1958, by replacing the mechanical latch with a magnetic door. Coincidentally this research was from 1958, so I assume there is a connection there. Thanks for posting that - It puts thing into perspective.
More information on the problem:
http://www.straightdope.com/columns/read/2586/is-it-impossib...