My thinking is that probably rimorel works for a not-for-profit rather than a non profit. Many hospitals are not-for-profit which allows them access to some public help. A nonprofit is like Sierra Club, Moveon.org, Media Matters, Center for American Progress...
LOL...as for a difference, I would guess that MY organization provides goods and services appreciated by the consumers of those services and the community in general, and THOSE organizations are devoted to destroying the country that gives them their tax-exempt status!