You may be interested in my comment above where I calculate the dosage you'd get. Your source shows something different than the source I used (which said 600Bq). But the high of your source is 16,704 Bq/kg, which means you need to eat 85.5kg (188.5lbs) of boar in a year to reach European dose limits (20mSv). That's a 0.234kg/day (over half a pound). That's a lot of meat to be eating a day. And that is the highest reading they found. But the median they found in that same area was 2,857 Bq/kg. That equates to needing to eat 1.37kg/day (3 lbs) to reach limits.

Note that this is also assuming that you receive a full dosage from your consumption, which isn't how it'd work in practice, so these numbers are conservative.

I'm not saying that you should go out and eat a bunch of wild boar, but that you have to be eating pretty much a high protein diet and almost exclusively on wild boar to even get close to yearly radiation limits (US limits are 50 Sv/yr btw, and even that level is not linked to increased rates of cancer). Though eating that much red meat every day is probably going to have other health problems (including likelihood of cancer) unrelated to radiation. It is recommended that you have less than 70g of red meat a day. I mean if you eat a hamburger every day (1/4 lb / 113g) no one would question you getting health problems and you're still under half the EU limits even when eating the most radioactive boar (16,704 Bq/kg) measured (less than a tenth if you're eating a medium boar (2,857 Bq/kg) from the most radioactive area (Bodenmais)).

You kinda have to actively try to get radiation sickness through boar consumption. The same is true for mushrooms.