This is one of the reasons I just don't like buying CRT's anymore. Two of the three CRT's I still have I managed to buy locally and both were in their original boxes and packing (one of them happens to be an IBM 5153!). The other I just got cheap enough that I could take a chance, and it was replacing another of the same model monitor that was itself in pretty rough shape - that's why I was replacing it. But I got lucky with it and it arrived fine (domestically, though).
The thing that really turned me off shipping CRT's was actually a TV that I had bought for my mom new... after only about 10 or 15 years, we had noticed the plastic on the base starting to crack under the TV's own weight, and eventually she moved and needed help and when I picked the thing up, the whole thing literally just fell apart. I ended up calling a junk company to take it away, and as they did I guess they couldn't get the right grip on it with all the disintegrated plastic, they jostled it in just the wrong way and the screen imploded. Luckily these things are designed in such a way that they're supposed to "contain" an implosion like that, but it was startling both for them and for me, my wife and mother standing about 10 feet away. The entire screen shattered (but stayed in place) as the junk guys were carrying it, with a big "boom!" They ended up dropping it, as you could understand.
The problem is really how brittle the plastic has gotten on many CRT's, and the fact that most of any CRT is just air. The plastic case is very easy to press in because there's nothing there behind it to provide support, and when you do that to this kind of old plastic, it just snaps. So shipping one is really rolling the dice at best.
Even with the crazy amount of packing on that final attempt, the fact that the boxes were so damaged just shows how close you came to losing another one.
btw my 5153 has the same picture issues as yours. These are CRT's from 1983... they're not the best that CRT technology had to offer.