The use of the term "free" is often really more of a "low cost of opportunity", generally involving someone’s personal time, as opposed to making a purchase. Faucets I figure fall under this conception, although with less and less ROT (Return on Time) as time goes by.
And that's where it is: we can choose to be pedantic however we want but the idea of "free" is a very fluid definition. WLOG this can also be applied to nearly every single word in existence, and beyond that, every single thought in existence - who's to say that I can't define X as Y? Convention? Status quo? From a meta standpoint those cannot be infallible means and processes for which we determine validity.

Let's be honest: most of the time, you look upon the word "free" as "no monetary cost" and to that extent, unless you're being extremely anal about external costs (i.e. electricity, physical energy, etc) faucets should be considered "free money".