Are male MZ twins more genetically similar than female MZ twins

Are male MZ twins more genetically similar than female MZ twins due to Barr body inactivation of the X chromosome creating a sort of cellular mosaicism regarding the X chromosome between female MZ twins? Is this included in any of the twin models?

In this simulation this is not the case - it was just random

But you can run models that incorporate X inactivation similarity estimates/measurements (these are very cool if you have the data)