I just checked. They are not the same. Even though, there are not that many to see at the meeting, its clearly different.
Also I think it would be a crazy amount of work to add different plates for all households. I guess thats why its usualy plain white plates. But nevertheless, you might still be on to something just because they are not plain white. That could be a strong hint. Because, the evening before, when MC made pancakes, the plates were white. The same as in the Cafe btw.
Im just not fully convinced that she ordered the food from the Hamiltons. Such a plain meal from their kitchen? But than again, it might just be a stock food asset Cozy used.