You are correct, it does. But let us look at what was actually said by the "Spokesperson" for the "Atheists" in this exchange.
ELLEN JOHNSON, AMERICAN ATHEISTS: Well, if there's money involved if there's any government money going towards the memorial site, and there probably will be, that's a violation because the government would be supporting the building of a cross. And even if it wasn't, even if there was no government money involved... ...I think that a memorial, especially at the World Trade Center, should represent all Americans.
She clearly argues this from outside the situation of the issue of government money. She chose the intellectual battlefield, I will not provide cover for only her to use when I engage the field.