Knoppix installation is not "incomplete" but it's incompatible to Debian in many ways.
Knoppix contains some unofficial packages, and sometimes broken apt system and broken dependencies.
That means that if you want to install knoppix as it is, it's all good but when you'd like to update the system or install new programs using apt, you might run into some little problems, most of which are easy to fix for an experienced Debian user but also time consuming.
if you are looking for a cleaner Debian install using liveCD I would suggest Morphix.
You can also start a full and clean Debian install using debootstrap (which exists in most LiveCDs i saw) but you must have time, patience and a Debian expert sitting beside you for this one.
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