I've been reading Carol's ongoing since 2006. I can't tell you that beyond a doubt she is a GREAT heroine. Bendis just assassinated her character in Civil War II.
Carol does have fan base, the Carol Corps. SO many readers have already accepted her as a good hero. She's been able to carry a title for 50 plus issues back in the days before everything was constantly rebooted. And she has been in consistent print since 2012. As right now she is listed as Marvel best selling Graphic Novel on Amazon.
Her stories are pretty good, IMO she has only had one really bad run with Stohl save for Life of Captain Marvel that was good. Brian Reed's stuff was plagued by nonstop cross-overs but still very enjoyable. Kelly Sue Deconnick gave the character new life by solidifying her personality and generating her own cult following.
Rise of Alpha Flight- A Carol Danvers Must read IMO
Higher, Further, Faster
In Pursuit of Flight
Down
Best of the Best
Ms. Marvel: Civil War
Operation: Lighting Storm
Monster Smasher
War of the Marvels
Ascension
Captain Marvel: Civil War II I know what you are thinking but this actually shows the motivation behind her actions in Civil War. Good Read though art is uneven. makes Carol's choice make sense in context.
Life of Captain Marvel