Distance shouldn't matter. Assuming you can pick up the (extremely) redshifted signal. Also assuming it's headed directly away from Earth. What'll happen is th

Distance shouldn't matter. Assuming you can pick up the (extremely) redshifted signal. Also assuming it's headed directly away from Earth. What'll happen is that it'll be slowed down by a constant factor dependent on speed. How? Depends on the video player. The factor should be, if I remember my relativity right, sqrt((1 + v/c) / (1 - v/c)). The formula for relativistic doppler shift of wavelength. Note that "what factor does the video slow down by" is equivalent to saying "if you have two points a certain time apart in the video, what factor is it stretched out by on reception". Which is equivalent to redshift in wavelength terms where the time is just wavelength / c. There's also a gravitational effect, but it should be relatively negligible.