However, there is a workaround that I know of. If you activate the card, and declare, "Before you enter your Battle Phase, I'll activate this" then I'm not sure there is anything the opponent can do about it.
It's similar to how "Threatening Roar" works. You are allowed to back the Duel up to a certain point (this is an official ruling found in the Priority section of the 6.0 rulebook), which means you technically can activate "Threatening Roar" after your opponent declares an attack - you just have to know how to word it. So could this card be utilized the same way?
The major question is: is your opponent allowed to backtrack also, and decide not to enter their Battle Phase then? After all, if you're reverting the duel to a previous point and changing the state of gameplay, it seems only fair that this be allowed.