A producer sure, but being a [qualified] producer is just a way to get your name on the books to get more money right? If you look at almost any long-running TV programme then you nearly always see the main actor(s) credited as "co-executive assistant producer" or something. In this case I would expect that Alec Baldwin was just cashing in and not really taking any sort of active production role. At least that would be my starting assumption. For anything other than "Producer" then just making some script suggestions is probably enough to snag you a "something producer" credit, and more money (if the financers sign off on it of course).