When combined with AE2, and the option to prevent dropped item destruction is enabled, it's impossible to create a pair of quantum entangled sigularities. (This requires dropping a singularity and ender pearl dust then detonating an explosion on top of them).

Is it possible to either code an exception to this pair of items, or offer a white/black-list of entity items like there is for blocks?

Definitely planned for the new 1.21 release, will also backport it to 1.12 (which, to be fair, I should've done way earlier)