No, but probably better to maintain a discrete distance.Is it illegal to fly over national trust property though???
If they come across any photo or video from your flight they may even challenge you.
Stock agencies (e.g. shutterstock) won't approve any photos from known NT locations.
Some of the others disregard this but bad things might still happen if a picture was a commercial success.
Reading the PDF linked earlier they seem to be deliberately misrepresenting what it says, I would read it as not being allowed to set up essentially a stall to take photos of visitors and sell them prints of their day out - which was more common in film days.
There was an incident locally where a commercial postcard photographer was challenged over a general view of Whitby which happened to have *their* abbey in the scene.
It's quite difficult to take a view of Whitby without it, since being on the cliff it dominates the town.
Completely unreasonable if not tyrannical approach which as lost them much support. See posts in this thread.
Photos of *their* sites are essentially free advertising bringing more visitors, but they don't see it that way as they want a cut out of any proceeds, or better monopolise and control sales of all imagery themselves