Or so it used to be pre-CoP. It had to be a long glide to make sure that the counter-rotational pull to start up the rotation was totally generated by the outer edge of the non-pick feet (which is what makes a lutz a lutz). After-CoP, the very long backward glide no longer became mandatory and could be cut shorter by putting in 'transitions' which means that the pull to start up the rotation is not totally generated by the outer edge of the non-pick feet. Hence, you have the 'true lutz' and the 'lutz' as per recognized under CoP.
Sounds like you're making stuff up. "True lutz" and "lutz" indeed.