I have the big one and it works just fine. The weight is actually what keeps it stable. The stand is short on height between the tiers, so even on the big one, I still only put one outside layer around each level. I then start going out around it on the table. I have a picture of it on my site. Now I have two years' worth of pictures but I haven't added them yet
BUT... I am OCD about covering it. I bought it for a Breast Cancer Awareness function and meticulously covered every inch perfectly in pink paper and ribbon. It took me 2 1/2 hours. No one could pay me to do that again uless I did it for charity for free.
I have some absolutely beautiful stands that I use to take center stage. But I have this one boxed up and I just use it every year for the Breast Cancer Benefit. Too much trouble.
And if you let the client cover it, if it's a bad job, it will ruin your display. It is very time-consuming to cover this in a professional manner.
The stand, in my opinion is too ugly and cheap to just spray paint. It's obviously cardboard and has those slots everywhere. When I covered mine, no slots were detectable.
I also (OCD me) completely covered the naked stand with clear contact paper, cut outs and all. Another 2 hour project.