Incorrect, a healthcare system does not require for-profit insurance companies to serve the health needs of it’s members.
I assume you made your comment out of ignorance and not as an attempt to spread misinformation. Check out the single payer model as an example of a full healthcare system that does not utilize for-profit insurance.
I’ve always pronounced it “In-jen-iks”. I blame Jurassic Park and it’s fictional biotech company InGen, but it does kinda also sound like “eugenics”. But I dunno man, if you want everyone to pronounce your software a specific way maybe spell it in a manner where the pronunciation is more obvious? Just a thought.