Yes. Thats exactly it. If you draw a straight line on a stretchy rubber and stretch, warp or ripple it, the line you drew would seem to twist or stretch relative to an external observer. However, relative to the rubber itself, the line is still very very straight.
I don't think the intrinsic speed of light is ever altered however the distance it has to travel is alterable. Distance is NOT fixed. I will explain below with 2 scenarios.
1
Assume there exists points A and B in space such that it takes light exactly 1 minute to cover the distance.
Now...
You need to go back and read redargon's post. He said "we could be travelling..." he did NOT say "we are travelling...". He only made an apocryphal statement; he did NOT postulate anything...
And as far as we and our entire universe is concerned, the statement "we could be traveling near c"...
Light can NOT bend. It travels in a perfectly straight line. However, light travels through space-time continuum and massive objects can bend space-time itself. So in essence light doesn't bend but space-time does. These are in perfect contradiction with what we see in the universe today because...
The simplest answer I can think of is "reference frames". Acceleration with space as the reference frame is what determines who experiences time dialation. True, even though you didn't use your engine you still moved away from the other person and vice-versa... but you can't consider yourself...