Even the BBC receives EU funding. As does the EU Arms industry.
How many factories relocated to eastern Europe from the UK with the aid of EU subsidies?
There is no point in taking agriculture in isolation. You need to consider thebig picture.

Rather like Brexit and the EU march towards:
Federalism
Common foreign policy
common defence force
harmonisation and centralisation of Taxation policies
control moving more and more to the center.

As Gorbachov reputedly said:

The most puzzling development in politics during the last decade is the apparent determination of Western European leaders to re-create the Soviet Union in Western Europe