It shouldn't :/ do you click something that beside rearrange item at inventory
Nope,clicking the recycle button then clicking it will result on the item being deleted,if you drag the item & get a confirmation pop up,you are trying to discard it (same effect as pressing the result button).
So far i had that item in my bank share and I didn't notice that issue,so if anything,it might be a bug?
Bugs usually get compensated back later on,NATURALLY (unless as i mentioned,its mishandling & you ended up discarding instead).
Best solution:keep it in your inventory & put other things on bank/shared bank instead.