if I see it right, there are two problems.
1) Cable strong enough to hold the netting will saw right through even the largest eye bolts in just a few days.
2) If the netting is attached to the cable and if the cable goes through eye bolts at the top of the pole... there could never be enough slack to drop the netting. It would just have a series of droops between poles.
The way to handle it is very similar to what you describe. Check this out: