i believe it's everything you drag, not just the dishes, i sometimes struggle with the frog to create a new one when in inventory merging 2 frogs together, i heard other things other simmers can't use some certain items
from what i read the team created a new option in the inventory but by doing so it created a big mess you can't drag anything even if it isn't inventory related so i feel like it has anything to do with the inventory why we can't drag anything to elsewhere
and it looks like it's a known bug because more than 1500 people had voted on that problem in this link Drag No Longer Working for several objects | EA Forums - 12296987 you can vote for that problem if you haven't done that already
and i agree with play testing the game, they should ask people who works for The Sims to test the game atleast before we do so we won't have to deal with the disasters about the bugs or atleast so we only struggles with so little bugs it's playable