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"If you're not paying money, you're the product being sold" is one of those cached phrases that looks insightful on first glance, but contains no actual substance.And that summary judgement follows a familiar pattern: 'This is meant to be insightful, but actually... let me show how the prevailing wisdom is wrong, with my new improved analysis'
The problem here, is that you're trying to be too clever in order to stretch words beyond their common usage.
Some personal perspective: Myself and the rest of the EA (Enterprise Architecture) team at my prior company spent almost a month painfully debating the meaning of word "Customer". Yes, I know, crazy and yet we had good reason for the corporate dictionary to be accurate. Financial control systems and exec reporting relied on it. But I digress, and while I can't remember the exact definition we used, the essential fact is:
A customer pays for goods or services.
It doesn't matter if they use dollars, bitcoins, or bushels of corn. Nearly all users of Google are NOT customers, and indeed do form part of the product offering, as the OP stated.
Additional references:
"A customer (also known as a client, buyer, or purchaser) is the recipient of a good, service, product, or idea, obtained from a seller, vendor, or supplier for a monetary or other valuable consideration. [1][2]
[1] http://en.wikipedia.org/wiki/Customer
[2] http://dictionary.reference.com/browse/customer