Yes but are there regulations on meat being separated from meat substitutes? Would we even want that? I think it could be better to have all the burgers in one place, so long as I can clearly tell beef from pork from veggie. And should the laws on packaging rely on compliance with other laws? It's the other way around - if the packaging is clear and appropriate, where things are placed doesn't matter.
Cheese being separated from other things is more about hygeine. And even then, it isn't 100% - you can buy meatballs with cheese in them. Maybe there's some sterlisation requirement to make that okay? I don't know.
I agree that burger should absolutely not be regulated as a meat only product. Just like how a pizza doesn't have to have plain tomato sauce.
I did some digging to try and find a primary source, the actual vote is here (Ammendment 113, just search the page for "burger"). If you take burger and hamburger out of the list I'd have no issue.
Hopefully when the EC (ie the competent lawyers, rather than populist representatives) take their pass at this they'll trim the list down.