Is Beyoncé the true mastermind behind Jay Z's '4:44' album?

While rumor has it that Jay Z's new album "4:44" was a response to Beyoncé's "Lemonade"... The producer of the 10-track album No I.D., or Dion Wilson, clarified on what role Beyonce played in the album. “Every song has to get past her ears, in my eyes. She came by a lot and played a good part in helping us get over hurdles on certain records. Of course she’s genius-level with that," No I.D. told the New York Times. Jay Z's album addresses cheating rumors, his newborn twins, and the infamous elevator fight with sister-in-law Solange.