Yes they do, and that is one of the main reasons we have to take this idea seriously. However, when talking about their experiences in the afterlife, they still seem to use language that implies a before and an after. Total timelessness seems to imply complete stasis which makes almost every verb - want, hope, help,..... - meaningless because they all imply a before state and some sort of changed after state.Hello David.
I get the sense that the noumenal state is a timeless "gnosis of all things." Even in NDEs, people have a tendency to say that "everything was really happening at once."
This is why I think there are two time-axes in use (I am not the first to suggest this, but I don't have a reference to hand). Thus when you are in that realm you see the time evolution (T1) of earth all happening at once - just as they say - but you think and act in another time dimension T2, as I tried to explain above. You can think of these time dimensions as totally separate or combined into a time plane. If within T2 you make a decision to return to finish your life (a few NDEers do get that choice) then the whole of T1 time will be changed beyond the current point.
This is the best I can make of the concept, and I do have a scientific way to look at these things, but this is my best hypothesis.