Jarran Reed, the Seattle Seahawks veteran defensive tackle, was asked something about his favorite part of Super Bowl week. But just then, a battle was breaking out on a podium just a few yards away.

When Claressa Shields, Savannah Marshall, Alycia Baumgardner and Mikaela Mayer all turned pro, their goal, and the hope of women’s boxing fans was that they would wind up in “superfights,” ones just ...