Often in an assembly the display of datum display tags clutter the screen. It seems to be an oversight that you cannot toggle their display off just as you can for datum planes, axii, points etc. It would be nice to be able to see the product you are designing and not just datum plane and their tags.
These tags are not controlled by layers, current work method is to manually edit each datum's properties [3+ for many components], and if you do this then you ruin their use as reference datums in drawings. These datums only need to be displayed for a fraction of the life of a part file.