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We really don't, since it's been beautifully illustrated through Google's actions over the years.You've proven that it should be changed to "If something free is Google's, you are the product".
Free things I'm benefiting from right now (right as I write this): Hacker News, Firefox, Linux, a keyboard a friend gifted me, a video of a guy talking about the color brown, the electricity paid by my landlord. I also just took out the trash which will be picked up, for free, by the city.
I'm the "product" of none of these things. They are paid for, indirectly, just as pretty much everything is. Just as for example, your volunteering time is paid for by your other actions in life allowing you to give this time away.
So what we should maybe change it to is closer to: "If something is free, it's just fucking free and there can be a host of reasons as to why so stop thinking in soundbites and employ critical thinking instead of being cynical about everything."