Beverly wasn't particularly lively or funny like The Doctor or McCoy. Even Bashir had more excitement. But for a ship of families, she was okay. I think that she and Picard had good chemistry with one another. I wanted them to get together right from the get go.
Also...definitely not a waste of space. Every ship needs a doctor!!
Pulaski, even though a weird Season 2 thing for no apparent reason...had a little bit more of a funnier, sarcastic, and edgy personality. I did not like her initial treatment of Data though. Of course that was rectified by the end of the season anyway.