The question is in the title itself.
My guess: Higher for Normal water.
My Reasoning: Internet told me Deuterium is more electronegative than Protium. So, there should be less difference between the electronegativity values of $\ce{D}$ and $\ce{O}$. Consequently, the dipole moment for $\ce{D2O}$ should be lower.
Is this a valid reasoning or should I take into account factors like lesser vibration amplitude of $\ce{D}$ than $\ce{H}$ that forms more stable bonds.