Do you remove eggs from substrate after cutting ??

As title states..... Should I remove the eggs from the substrate after cutting them to avoid getting anything in the egg or will it even matter? Would it be better to place them into another tub with just a dampened paper towel at this point.

Thanks

I use a subtrateless method and remove the substrate and light diffuser soon as I cut the eggs, I use damp paper towel instead.

I do the same as Deborah