Clinch vs improved clinch
One step apart, and the step is the whole knot. Both wrap the tag around the standing line and pass it back through the small loop above the eye. The improved version then passes the tag through the large loop it has just created. That final tuck is what stops the coils drawing through under load.
There is no reason to tie the plain version. If you learned it without the last step, you learned the weaker knot.