This is a design that was considered for the (much) later Long Stay Apollo missions, where the LEM would be on the Moon for a long time. And there were concerns about reliability.
So they came up with a light weight design that would be a few bits strapped together, to get the astronauts up into munar orbit, where the command module might be able to rendezvous with them.
But it would not have been needed for the cancelled missions, and the ones beyond that were not studied in any great detail, so the design was not taken any further.
There are some interesting variations described on Wikpedia here:
https://en.wikipedia.org/wiki/Lunar_Escape_Systems
And an excellent post on the “False Steps” blog:
https://falsesteps.wordpress.com/2012/09/01/less-the-lunar-escape-system/
And I did a simple animation of it spinning too:
This certainly looks to be a wildly precarious ride, to say the least!
To me the Soviet plan looks a LOT safer – put a spare lander in the immediate area, just in case!
As usual, everything done in Lightwave 3d.