The short version
Neurosity Crown wins for developers and biohackers who want raw EEG access without subscription. Emotiv Insight 2 wins specifically for academic-style research where the EmotivPRO toolchain’s publication base matters.
When is Neurosity Crown the right pick?
If you want to build something on top of EEG — a focus app, a productivity tool, a research project — and you would rather pay once than maintain an ongoing subscription for raw data, Neurosity Crown is the right shape. The eight-channel hardware and the JavaScript/Python SDK (plus BrainFlow/LSL) are the differentiators.
When is Emotiv Insight 2 the right pick?
If you are running academic-style analysis and want to cite the EmotivPRO toolchain in your work, Emotiv is the right shape. The five-channel hardware is good enough for most cortical-region work, the live (proprietary) cognitive scores are broader than Neurosity’s, and the Pro subscription is acceptable when academic-toolchain depth is the value you are paying for.