Can actually confirm, search results can be wildly inaccurate on different devices. I hadn't played much on my laptop since building PC, but just recently happened to be on and noticed my crafting Favorites were all old things I'd already completed (favorites are evidently also a client-side thing.. makes sense, I suppose, for data purposes). In running searches to confirm I'd already made the things, I had to go around and open all the inventories/retainers again for the search to know where to find them.