I think I discovered what's going on when you view something on twitter on iPhone it doesn't sync to iPad so you when u do a spotlight search for that thing on iPad for example it wont show unless u go back into the twitter app search for that thing again come out and then research on iPad and it should be there. so it doesn't sync over iCloud so if you look at 10 things related to Tim Cook on your iPhone these should show when you type his name into spotlight search on iPhone but wont show on iPad as they dont sync over iCloud at least not for me I have to go in and re search each one again if I want it to appear in spotlight search