I understand the example, but aside from being in space, it's more or less normal movement.
The scenario in the FE model seems, at first, to be quite different. All the known matter in the Universe is moving at exactly the same speed upwards. In effect, I believe we can treat this as one body.
A closer comparison would be you floating in deep space, with an internal oxygen tank you can't remove. Let's say you can't even remove the suit by yourself. There's not another physical object within any measurable distance of you, just empty, dark space. How do you move? Your relationship to any point can't change, as you're the only point. There's nothing to push against or pull towards, or be pulled towards, and no way of telling if you're moving at all.
Of course, this seems wrong to me now, as my current understanding is that FE theory holds that some energy source on the bottom of the Earth is pushing away from the Earth and causing it to travel "upward" at an exactly even acceleration, and has presumably been doing so for all of known time, so all of the matter/energy in this Universe is not moving all together in the same direction. But this raises a lot of questions of it's own- what is this energy source? Does it have infinite fuel (and how is that supposed to work), or are we going to run out soon, at which point we'll all fly off up into the Sun? And if the mass of the Earth and the associated bodies with it is decreasing, shouldn't the rate of acceleration be increasing as the mass of the body it's moving decreases? Shouldn't we be going a truly ludicrously large number of lightyears per second relative to the energy left behind when we first started this journey?
Although all this seems less relevant than the fact that I just watched a sunrise, and the Sun was not tiny and speck like as a bird or cloud or car disappearing in the distance, but about it's normal size and revealing itself in fractions over the horizon.