That's utterly irrelevant if you believe Henry and Anne Boleyn's marriage was illegitimate in the first place, as Mary and Catherine of Aragon's partisans did. Whatever progeny results, they're inevitably bastards by that reading, as Henry's marriage to Anne was bigamous.
I'm not sure the concept of bigamy as we have it nowadays existed back then... with Catherine out of the picture, Anne's left as sole, uncontested consort. She had the endorsement of the Crown and (national) Church, while her enemies can only look to an disinterested/otherwise occupied Emperor abroad for nominal support ("support", ie, vague promises).