And to me. I saw a similar system in use, although apparently arranged vertically, at Cockpit Fest a couple of years back. The guys who transported the Spitfire, Mustang and Messerschmitt Special Interest Groups models, around 200 of them(!) were using tall cases, with each model being fixed to the same size base, which appeared to 'slot' into supports like yours.
When I last moved house, I used a similar method, and there was very little damage - just the expected odd antenna wire or pitot.