Well after nearly 4 years of trying find ways to stop my Peach-faced Parrot, whom I allow to live outside of his cage, except when I put him outside in the sunshine or at night when he sleeps, from doing his 'wander around the room bit' and shredding bits of paper to weave a nest he'll never need, I've finally found the solution I think.
1 cheap plastic toy snake placed on the large plastic sheet on the floor under his 'area' and close to 'his area and for 3 whole days now he refuses to do his 'wandering bit.'
But no need to worry about him getting exercise though because on ratio of inch for inch he has just as many toys and amusements as does my 6 year old nephew.
E.g. he has a pole about 4' high with staged 'twigs' drilled and glued into it to clamber up and down at will, a smallish hollow log screwed to the top of the pole as his 'Penthouse Apartment' (LOL) and about 1 metre of small link chain suspended between his 'Tower Block' and the architrave around the doorway with numerous hanging 'toys' and mirrors, etc, on it.
If he isn't one truly spoiled bird then I don't what is?