As pointed out by couple people, it might also just be used by people to test if the wallet is correctly setup and working.
And maybe the idea to couple it with another task to promote the coin might still be interesting.
However, the problem might be more filling the faucet actually!
Filling a faucet isnt that hard... especially with a high"ish" supply coin like DSRTRA.
A faucet isnt meant to be a bank, its just meant to give .***X of a coin for free every couple hours. The site gets repaid in captcha and advertising to cover costs mostly.