Isn't there a minimum % of US shareholding, if the plane is company owned?
Someone ence tried to sell me such a scheme, and the figure was about 75% US. The other 25% was the UK based beneficial owner (what the US calls "trustor").
The above is a popular structure at the higher end of GA because it gives the beneficial owner some control, in theory. Whereas the conventional US trust, where you sell the plane for $1 to the US citizen and then pay him £500/year, means that if he dies you might be stuck with a plane which you cannot sell - for quite a while, anyway.