While your statement is true, it leaves out relevant details:

There is a certain threshold for radiation exposure where if exceeded the animal isn't deemed safe for consumption anymore. The vast majority of these cases are from boars in certain areas of Germany nowadays and affect less than 1% of all killed boars [1] [2].

[1]: https://www.deutschlandfunk.de/fast-3000-verstrahlte-wildsch...

[2]: https://www.wildtierschutz-deutschland.de/_files/ugd/173a38_...