You're right - if you define 'funded by corporations' sufficiently loosely (to include everything from governmental bodies to universities to charitable foundations) that the statement 'science is entirely funded by corporations' becomes a tautology, it becomes clear that science is entirely funded by corporations! I for one am shocked and appalled.
You're just being pedantic. The thrust of his comment was clear while not perfectly correct. "Fund" is well understood as a euphemism for "control"
It would be ideal if science were "funded" (read: controlled) by the public in the interest of the public good, but in reality it is controlled by the corporatocracy.
Is Goldman Sachs "funded" by the government or is the government "funded" by Goldman Sachs? The best understanding is that the government is a corporate subsidiary of Goldman Sachs, a profit-centre that Goldman Sachs invests in and controls by means of investment, and those investments reap profits.
Technically you could say that GS is funded by taxpayers, but funding implies both investment and control. So it's more accurate to say that GS funds the government, because this makes it clear where the locus of control is. Citizens are indentured servants that pay tribute to GS via taxes. Academics are indentured servants that receive money and position in exchange for their services to the subsidiary of GS called NSF.
Having said that, I think many foundations are genuinely independent of GS control, but they still can't be said to be funded by the public for the public. They are just altruistic private parties as opposed to the megalithic non-altruistic faction that is the corporatocracy.