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

peoples are doing 100+ faucets per day...which means a lot of hard work...and peoples who opens faucets are generally getting the ad revienews
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?
He is right there are about 30 faucets that i know of that pay min 500 satoshis per hour, using only those every hour you would get 15k satoshis, and as the other guy said people use even 100 so you could be getting 40-50k each hour if you went through all the faucets, doing it for 3-4 hours a day could earn you 0.002 wich is still not an incredible amount but it is something