Here's the problem for me. These mining operations can be exploited to an extreme. Any scientist or professor with knowledge in protein representations will have an unfair advantage over normal miners. This gap will be even larger than the hashpower gaps we see between ASICs and "normal" miners in bitcoin, litecoin, etc because scientists will have access to not only hardware but also extremely specific domain knowledge.
It's not, because no one would use a coin with such imbalance in mining power. It would be all around more efficient for people to just donate to scientists.
Presumably that wouldn't be a goal for such things. You could just as easily call them "coolness points" and use them as badges of distinction. That alone could motivate participation. God knows it works for Reddit.