Beans are real fragile, they don't store long.
Corn can go several years, 4-5. But it needs to be stored right.
Wheat can store pretty long too, but it needs to be cared for properly.
If I remember your seed was in 5 gallon buckets.
The stuff on the bottom of the bucket might be real moist and fuzzy and poor.
The top inch might be real dried out, sun bleached, got humidity and swelled and shrunk.
Perhaps the upper middle of the pail was stored about right and is pretty good.
So, what wheat did you grab, a bit off the top, a bit off the bottom, or a sample all the way through?
When a seed gets wet it swells up, dead or alive it will swell up.
A weak seed will try to put out the stem, but is too poor and weak to get anywhere and dies with a bit of a bump out there.
A strong seed will hang on a long time, if too cold it will be swollen up, possibly a bit of a bump on it, but will keep trying to grow for an amazing long time.
Weak seed might come up in a warm environment, but be too weak to come up in cold soil; put 100 seed on the window sill in a sprout pan and put 100 seeds in a sprout pan in the fridge. Both should come up, but the fridge stuff will be much slower, and mybe not as many, or is weak almost none will come up.
As I recall you didnt count the seeds, so we can't work out a percentage.
Also as I recall, you didnt put a layer of dirt/sawdust on top, but just layered between paper and keep misting it. That doesn't do good seed to soil contact, and it doesn't keep a constant temp and moist but not soaking moisture on the seed. So, I'm not really sure we can tell for sure if the seed is bad or you used a poor method to try to sprout the seed? I don't believe the way you did it will really tell us anything, since there was no light dirt pressure on the seed, and your misting of paper allowed the seed to get drenched and dried instead of the natural constant moist that a soil layer would have.
Don't mean to be hard on you, I like your project, so just telling it like it is, so we all can learn something?
Paul