Cardboard on frame tubes is a no-no in my book. Doesn't fit tight enough to prevent scratching. I love pipe insulation from Lowe's at less than $2 a stick. Stay-ties are great for keeping everthing snug. as well.
I have tried many different things, from cloth wrapped frame sets, to the pipe insulation mentioned. I modify my packing methods, each time I see a way to do it better, that makes sense.
I don't think my cardboard tubes move around. I tie wrap them very tight. And I take my time to do a good job. My first rule, regarding packing, is to ensure that nothing, inside the box, moves independently. The next rule is to keep everything inside. And the seek well thought out padding.
In my opinion, the box is there to contain the unit. Not to protect, in the truest sense. It is my hope that a well packaged container, prepared with the package handler in mind, might get treated a little better. Professionalism? Not sure what to call it but I believe good work is often recognized, no matter what the medium. I have, many times, had my packing complimented, when dropping bikes off, at both FedEx and the Post Office.
Now, I don't know what I am doing right or wrong, but I do listen to my customers. Most seem pretty happy with the packing jobs and many even mention it positively, in my Ebay feedback.
None the less, my hat is in the ring and I have shared what I have learned about sending bicycles from here to there, no matter what either might be. I expect to learn something, perhaps a lotta something, through this exercise.