Okay, I think I understood the point. Space is expanding in an accelerated fashion. Not in the sense of the big bang created a speed vector for e.g. a galaxy and now it keeps going, because that would not explain the acceleration. (And not the location inheritance of the red shift) If any force is applied to a galaxy it is gravitation and that force would slow it down. It is the space fabric between the observed objects which keeps getting more and more and hence the galaxy distance measured does increase; and the increase picks up even.
The reason we know it is accelerating is the red shift of light and the light intensity of standard candles. Okay, I can accept that.
Let us assume for a moment that not space is the variant but the time is the variable thing. We already know that time can be bend by gravity, so the concept is not new.
What would happen if we look at a distant galaxy, one that is 5 billion light years away? We would see the galaxy in slow motion, as the time in the past was slower. The hydrogen spectral line, which has a given frequency, would have a lower frequency, a red shift.
All the arguments holding true for the-space-itself-does-get-more holds true for the time-was-slower in the past as well, you can't even tell the difference as space and time are connected. A lightyear would still be a lightyear.
Same is true for the standard candle. The intensity of such a supernova burst indicates how much the light was spread, again it lets us calculate the distance in light years. And a light year is a light year.
So I wonder what evidence or logical holes prevent above statement to be wrong. One method I can think of would be to measure the rotation of galaxies. This movement has no distance part, it is a pure frequency, a time variant. A distant galaxy would appear to rotate at a lower speed then it actually did and the mass of the galaxy would be off. Unfortunately in the wrong direction to explain at least some effects of the dark matter. So if anything, this time variant principle would require more dark matter.
If we would move on and define the time variant to be locally disturbed as well, not uniformly, you could explain gravitational lenses as a pure effect of time as well. Just like a magnifying glass works because the speed of light is lower in glass than air, the light rays are bend.
Where am I heading into the wrong direction? I am sure greater minds than I have answered the question already, I just can't seem to find the material.