no they are not profitable
if they are not profitable then why they still operate, and why people still open them and even offer faucet creation as a service
Yes using a faucet rotator, you can use 100 faucets per day and get 0.002 - 0.003 per day with hard work
OP is talking about running a faucet. Not about claiming faucets. But really do you think you could earn that much?