This is how I've been tying my shoes for a while and can recommend! Unfortunately I did not learn it from the inventor's website but rather from this site[1], which may be a total knockoff or may be a case of "parallel thinking".
Well so either way the "proper" way is to end up with a bowknot, as demonstrated. However, the TED talk's method of getting there I would actually classify as wrong.
If you want to use the "bunny rabbit" method, the easiest way to turn your granny into a bow is just to switch which way you tie the laces over each other at the beginning – that is much easier than trying to invert the bunny ear thingy.
However, the even easier way (and what GC was pointing out) is the "Ian" method, where you pull the bows through each other simultaneously, which (with practice) is faster and always guarantees a bow knot.
Mr Fieggen's site is a lot older than that, so possibly "parallel thinking"... But because of the cutesy story, cheesy layout, and above all, "Freedom Fries!" name, I'll go with knock-off.
[1] https://freedomknot.com/