I don't know if my trimmer is newer or older than the one that is shown in this video, but I did not have a snap ring in mine. It was held together with another screw. And there were three screws holding the back cover not just two. Everything else in the video seems perfectly correct with my model.
So the big spring is like a strut, or dampener to smooth out the pull start? I agree, it needed that last wrap. The Zippo hippo joke was good. I have a pretty big collection of them somewhere in boxes.
In theory the big spring winds up without cranking the engine and when it releases its energy the engine sins over. In reality you get something more like what you described.
So my spring let go the other day because the snap ring came off in a pull. Looking at the slot the ring sits in, it looks like it got a bit chewed up abd theres not much meat left. I've ordered a new spring, but I'm thinking about grinding the plastic lug back to the rear of the snap ring groove with the dremel and then drilling a pilot hole and using a self tapper with a washer to hold the spool in place. Any reason this wouldn't work? Mine doesn't have ergostart - its a 2009.