You meant it as a funny statement, but it is actually true. Here in Bavaria, we actually have too many wild boars in the forests, but hunting them for meat is limited by the fact that they are still partially contaminated by the radiation left from the Chernobyl disaster. So about 1 out of 3 animals shot have to be destroyed.
Oak Ridge held the uranium separation facility for the Manhattan project, and also held materials storage, at a time when standards were rather more lax.
Same with sheep and reindeer in Norway, and I'm sure other animals elsewhere.
The problem is not direct exposure, but that the prevailing winds carried various radioactive particles to large parts of Northern Europe.
These particles gets sucked up by plants and mushrooms over time, and depending on weather conditions and other food supplies and type of animals, the concentration of radioactivity in these animals can vary greatly from year to year.
It's not harmless, but all it means is you need to check certain types of animals and plants from certain regions before eating them.
The radioactivity itself is not a problem, but some of these particles will bio-accumulate, and so while e.g. picking some mushrooms or plants may be mostly harmless, eating lots of meat with lots of accumulated radioactive material will concentrate it further, and keep irradiating you from the inside, which increases the risk substantially.
In view of its geographical proximity, eating wild boar meat in Romania sounds even more risky. Are all carcasses checked for radiation? I have my doubts.