The observable universe has a radius of about 14 Gigaparsecs. If H0 is 67.4 km/s/Mpc, then a naive calculation puts the edge of the observable universe expanding at 943,600 km/s, or about 3 times the speed of light. Of course we still observe this as merely "close to" the speed of light, but the point is that most of the universe is shooting away from us so fast that we will never see them as they are "now", even if we wait billions of years. We have no way of ever interacting with most of the "modern" universe, even theoretically. They might as well be in different universes. All we will ever see is their images from billions of years ago, even if we wait billions of years from now.