This is going against the whole idea of a faucet in the first place. The original intent was to promote adoption of a coin, by giving out small amounts of it to the community at large to encourage them to explore and use the coin. By offering a small amount, it at minimum necessitated that the users create a wallet and at least work through the basic process of sending and receiving transactions. Once they had these basics down, many of them may be inclined to stick around and become members of the coin community.

At least that was the basic premise during early Bitcoin, and to some extent early alt-coin (such as LTC) days. As the cryptocurrency world gained interest, the value of the coins began to increase such that relying on generosity or donations to fund a faucet was becoming harder and harder. This coupled with the fact that scammers looking to make multiple claims were draining the faucets quickly, made the need for some other form of funding, thus advertisements.

At first this was kind of ok, but over time the needs of faucet operators have grown over the spirit of the faucet concept and the faucets became laden with ads, paid out little to nothing, and had many hurdles such as weird captchas to overcome. Granted some of this was in direct result due to the bots hammering the faucets for a free payday, but in the end for the average user the original intent of the faucet is long gone. The time it take to accumulate enough to not be eaten up by transaction fees, cost more in electricity running the computer than you will receive.

Wow, this seemed to quickly turn into a rant. Anyway, the takeaway is no, I think this idea is not at all a faucet but more akin to a ponzi as others already have pointed out.