What you could try to find out is if they have some kind of special insurance policy for special cars. Here in Sweden we have several different kind of special ploicys.
One is that you limit your driving to 5000 km per year and not driving it to and from work. Antoher policy is if the car is older than 30 years. Then there are policys for historical cars and so on.
My company haven't inspected mine they take my word for it and when something happen the discussion would take place. If it is crashed then they can see what I have done, if it gets stolen it could be more difficult to value...
Pictures and receipts is a good thing to save.
I have valued mine myself and have it fully insured and have raised the value every year. I have valued mine according what it would cost to buy another one from the US in similar condition. It would be impossibble to find a similar car here. I could find good objects and start all over. So you have to calculate it both ways.
Check around at different companied, there can be huge differences.
Another thing is to have an independent valuation of your car.
BTW nice with another european here. Nice ride
Jan