Very large objects and dark energy

If there were a very large but very dispersed collection of matter, such that it would turn into a black hole in the absence of dark energy, but the space between the far points of the object are moving away from each other at a sizable fraction of the speed of light, would it not turn into a black hole due to the effects of dark energy? i.e. does dark energy increase the event horizon?

Similarly, for a very long, solid rod, if it were long enough that space at the ends are moving apart at a sizable fraction of c, will it be torn apart? Any given part is not pulling against any other enough to pull it apart and yet the space between is moving faster than the speed of sound. Assume it was assembled simultaneously from the perspective of the center of the rod.

(Interestingly, if it will not be pulled apart, it looks like it will also not be pulled apart even if the space is moving apart faster than light speed, because any given point is not cut off from the next point over, yet you will be unable to retrieve information from the far en.)

It’s a little complicated, but if you take the de Sitter-Schwarzschild solution putatively describing a spherically-symmetric black hole in a background of a positive cosmological constant you can obtain the degenerate Narai solution where the black hole singularity disappears. The Narai solution still has a black hole event horizon, however there is no essential difference between the Narai BH horizon and the Narai cosmological horizon.