Caterpillar = a high tunnel on a track that can move to cover new ground nearby.
For example, start your broccoli early, after a month, move it 100 feet down
the rail and plant your tomato.
Flying debris are a problem for any structure,
generally try to locate far away from tree line,
and have wind break of shrubs in between.
I know someone who tried bolting wheels onto
the frame to move the tunnel a greater distance,
they did not have enough ground clearance,
even with 8" of clearance below the frame,
they went to using simple garden carts,
which they on the farm.
You can mount wheels, but they need to be
fairly large in size to clear most situations
when it comes to grade or irregularities of the land.
The current one I have is the style you mentioned,
with sloping sidewalls to the ground,
limits the growing space,
the high side walls, you can you the entire space to grow.
One downside, bigger structure,
more cubic feet,
more expense to heat or ventilate if needed.