"Foundation" is just a part of a name, in the US at least. There are definite connotations to using Foundation in your name, like those you described, but anyon

"Foundation" is just a part of a name, in the US at least. There are definite connotations to using Foundation in your name, like those you described, but anyone can use it. Conversely, nonprofits can be of near any side, from a local community entity doing volunteer work, all the way up to big entities like planned parenthood. So, they're not equivalent, and do in fact have tendencies for a large amount of overlap.