So little of what humans do is similar to those games, so I don't see how "context" could possibly be similar unless those sorts of brain speed/recognition tasks were part of your day to day work.
I'd be curious about scenarios like:
- Practice identifying the semantic bug in a 20 line snippet of code. How effectively would practicing this help a person identify real bugs in actual code?
- Chess problems with 5 pieces on the board. How helpful would practicing these be to solving problems with 6 pieces?
- Essay writing. Suppose for a moment that a human essay could be judged accurately enough to create a 500 word essay trainer. How effective would training on it be to quickly being able to articulate one's thoughts?
Similarly, I'd be curious about a sunk cost rationality trainer, logical proof trainer, and reading comprehension trainer. These would be harder to build than the simple video games on Lumosity, but I suspect the competency obtained could be a bit more useful in real world tests of ability.
However, there are fairly few cases where specific characteristics of human intellect or rationality are measurable by longer term human performance. If your job entails long term project planning, trade-offs, etc., it's pretty hard to prepare in a meaningful way using short-term training sessions.