Don't know about current European thinking, but as recently as a decade ago, there were still people who remembered what it was like to starve. But I doubt if this is still their reasoning.
You might laugh, but its mostly the french, who are fighting hard to keep as many subsidies as possible, along with some other nations on the western side of the EU.
Personally, I would have guess (but then I would have been wrong) that the biggest push on keeping subsides would have been from the eastern folks.