Let's say for example that I'm travelling through space in a spaceship at a speed of 0.9C and my shutters are closed but my internal light is on. Things should look pretty normal, since I'm travelling in the same frame of reference as the light source. Then I switch that internal light off and open the shutters and suddenly everything shrinks (due to me being in a different frame of reference to the external light source, assumed to be a nearby star). But if along with the length contraction time has dilated in equal proportion, would I even notice a difference?
I'm assuming the answer is No, but that's assuming I understand SR properly (particularly my assumption of length contraction countering the effects of time dilation or vice versa).