I experimented with dwarven flight over the last few days, and dwarfs can and will ride flying minecarts over a full embark and come out alive with the proper precautions.
I didn't use impulse ramps but ordinary gravity-fed ramps, and only 28 of them. Since i had a ridiculously huge mountain to start from, that still placed the launch ramp sufficiently high up that a dwarfless cart struck the far end of the (4x4) embark area two z-levels above ground (~160 tiles horizontal flight).
Going by information on this and other threads, i built a rail of track at the maximum height the cart reached and placed there a series of switchable track stops and another launch ramp. With the track stops turned off, the ramp will send the cart into another jump, gaining another 7 (on top of the 14 so far) z-levels, for the price of a significant speed loss.
The launch ramps all used the advertised design:
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_/W
Wall-backed ramp, and another bit of ramp on top of the wall. Catching the flying dwarf-ridden cart at the apex of its trajectory and stopping it via track stops allowed for a perfectly safe flight - no combat reports, no wounds on seven or eight flights. Catching a descending cart with a flat track or a one-tile ramp leading into flat track caused the dwarf to take collision damage from the cart, once. I've not seen any serious wounds yet, but that was probably just luck - no headstrikes so far. Five test flights caused bruised organs twice, bruised muscle (arm/leg) twice and a broken hand. The severity of the hit taken appears independent of the drop distance - falling four z-levels and falling 87 (!) didn't appear to make a difference - but cart weight is likely a factor; i used wooden carts on both test routes. Still, i got living dwarfs delivered completely unharmed over 40 tiles horizontally and 14z up, and slightly bruised over ~140 tiles horizontally and a net of 65z down.
It seems that launching dwarfs into battle riding minecarts is a risky proposition - even with armour on, letting them descend onto a track stop is likely to injure 10-20% of the force sufficiently that they won't enter combat. And that's ignoring the logistics (getting several dwarfs to launch in a timely fashion) and the necessity to activate them _after_ arrival, since push vehicle can only be done by civilians.
The uniform collision damage also suggests that a falling minecart could be used to move a dwarf down over huge distances very quickly and at only moderate risk to their life and limb.