State sponsorship of terrorism: Also known as "state supported" terrorism, when governments provide supplies, training, and other forms of support to non-state terrorist organizations.
Question - what is a non-state terrorist organisaztion?
For example take the Emigrés of the French Revolution, who fled France gathered an army to fight against the Republic - are those terrorists - according to your original posting and headings - seemingly yes?
So all those states offering help and giving permisson on their states are supporting terrorism??