Anne Boleyn didn’t provide England with a male heir. Her daughter, Elizabeth I, was probably the greatest English monarch to live, though.
I don’t know that Anne Boleyn was a conniver. I believe she truly thought that Catherine of Aragon was not legally married to Henry VIII (pre-dating psychology, people could very easily believe the things that were convenient to them) because the Pope was not authorized to provide dispensation for the marriage. She was instrumental in bringing about the Reformation by introducing Henry to banned books, like Tyndale’s Obedience of the Christian Man. She was educated, multi-lingual, and deeply religious.
I think the night Henry spent with the ladies of the court happened while Katherine Howard was awaiting execution. Henry was already set on Jane Seymour the night before Anne’s execution.
Fwiw....Anne brought or helped bring about the downfall and subsequent beheading of Cardinal Wolsey and Sir Thomas More......
....so yes I would say she was a conniver