Try these steps:
1. Start out with some space in your player inventory and a double chest containing different kinds of fish.
2. Click a stack of one kind of fish (e.g. "raw fish")
3. Hover that over the same kind of fish and shift-double-click

• Result: All of that kind of fish gets moved from the check into inventory.
  4. In your inventory, hover that fish type over and shift-double-click again to move everything back to the chest, and then drop the hovered stack into the chest too.
  5. While the chest is still open, click on a different kind of fish (e.g. raw salmon).
  6. Hover over that kind of fish (the raw salmon) and shift double click.
• Result: It isn't this kind of fish that gets moved but rather the first kind you moved (i.e. the "raw fish"). In fact, at this point, as long ask you keep that chest open, the only kind of fish that it'll move is the first type you selected (i.e. "raw fish", even if you have "raw salmon" selected).

The work-around is to close the chest then reopen it. When you do that, you can select a different kind of fish and move it.