Yes, and I don't understand how the knots you posted would solve the problem described in the article. Maybe you can explain (either here or on your site) how the knots you posted would solve the problem described in the article.
For example, an uncompleted bowline tied around anchor point could hold weight, but as it is very unstable, it could be shaken free easily. There would be no rope left left behind, either.
The Bell Ringer's Knot is almost the same as an uncompleted bowline. The rabbit never goes back into the hole.
OK, I get it. Your link to the Span Loop was confusing because there's a pic there of a knot that doesn't come loose if you shake it.
Note that none of these knots should be used for descending a mountain, unless the person is super desperate.The person would probably have a better chance of survival if they just remained stranded. These knots are that unstable. I just simulated the problem with the Sheepshank, the unfinished Bowline and the Bell Ringer. If there is a pause in tension or if there is moderate shaking, then the whole thing tends to become untied rather easily.